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Finding the Fourth Proportional to 78,070.20, 107,645.67 and 73,866.30

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Solution

The fourth proportional to 78,070.20, 107,645.67 and 73,866.30 is: 101,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,070.20 : 107,645.67 = 73,866.30 : x
  2. Step 2: Convert to fraction form
    78,070.20/107,645.67 = 73,866.30/x
  3. Step 3: Cross multiply
    78,070.20x = 107,645.67 × 73,866.30
  4. Step 4: Simplify right side
    78,070.20x = 7,951,387,353.92
  5. Step 5: Solve for x
    x = 7,951,387,353.92/78,070.20
  6. Step 6: Final answer
    x = 101,849.20

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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.