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Finding the Fourth Proportional to 87,516, 120,772.32 and 47,772

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Solution

The fourth proportional to 87,516, 120,772.32 and 47,772 is: 65,925.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,516 : 120,772.32 = 47,772 : x
  2. Step 2: Convert to fraction form
    87,516/120,772.32 = 47,772/x
  3. Step 3: Cross multiply
    87,516x = 120,772.32 × 47,772
  4. Step 4: Simplify right side
    87,516x = 5,769,535,271.04
  5. Step 5: Solve for x
    x = 5,769,535,271.04/87,516
  6. Step 6: Final answer
    x = 65,925.49

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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.