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Finding the Fourth Proportional to 78,114.58, 107,798.09 and 42,304.58

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Solution

The fourth proportional to 78,114.58, 107,798.09 and 42,304.58 is: 58,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,114.58 : 107,798.09 = 42,304.58 : x
  2. Step 2: Convert to fraction form
    78,114.58/107,798.09 = 42,304.58/x
  3. Step 3: Cross multiply
    78,114.58x = 107,798.09 × 42,304.58
  4. Step 4: Simplify right side
    78,114.58x = 4,560,352,813.94
  5. Step 5: Solve for x
    x = 4,560,352,813.94/78,114.58
  6. Step 6: Final answer
    x = 58,380.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.