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Finding the Fourth Proportional to 78,833,784.95, 108,000,475.04 and 75,886,354.11

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Solution

The fourth proportional to 78,833,784.95, 108,000,475.04 and 75,886,354.11 is: 103,962,562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,833,784.95 : 108,000,475.04 = 75,886,354.11 : x
  2. Step 2: Convert to fraction form
    78,833,784.95/108,000,475.04 = 75,886,354.11/x
  3. Step 3: Cross multiply
    78,833,784.95x = 108,000,475.04 × 75,886,354.11
  4. Step 4: Simplify right side
    78,833,784.95x = 8,195,762,293,123,373
  5. Step 5: Solve for x
    x = 8,195,762,293,123,373/78,833,784.95
  6. Step 6: Final answer
    x = 103,962,562.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.