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Finding the Fourth Proportional to 78,311.90, 108,070.50 and 42,501.93

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Solution

The fourth proportional to 78,311.90, 108,070.50 and 42,501.93 is: 58,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,311.90 : 108,070.50 = 42,501.93 : x
  2. Step 2: Convert to fraction form
    78,311.90/108,070.50 = 42,501.93/x
  3. Step 3: Cross multiply
    78,311.90x = 108,070.50 × 42,501.93
  4. Step 4: Simplify right side
    78,311.90x = 4,593,204,826.07
  5. Step 5: Solve for x
    x = 4,593,204,826.07/78,311.90
  6. Step 6: Final answer
    x = 58,652.71

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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.