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Finding the Fourth Proportional to 87,051.71, 120,087.14 and 56,854.71

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Solution

The fourth proportional to 87,051.71, 120,087.14 and 56,854.71 is: 78,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,051.71 : 120,087.14 = 56,854.71 : x
  2. Step 2: Convert to fraction form
    87,051.71/120,087.14 = 56,854.71/x
  3. Step 3: Cross multiply
    87,051.71x = 120,087.14 × 56,854.71
  4. Step 4: Simplify right side
    87,051.71x = 6,827,518,918.99
  5. Step 5: Solve for x
    x = 6,827,518,918.99/87,051.71
  6. Step 6: Final answer
    x = 78,430.62

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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.