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Finding the Fourth Proportional to 71,762.36, 99,032.96 and 39,500.71

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Solution

The fourth proportional to 71,762.36, 99,032.96 and 39,500.71 is: 54,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,762.36 : 99,032.96 = 39,500.71 : x
  2. Step 2: Convert to fraction form
    71,762.36/99,032.96 = 39,500.71/x
  3. Step 3: Cross multiply
    71,762.36x = 99,032.96 × 39,500.71
  4. Step 4: Simplify right side
    71,762.36x = 3,911,871,788.32
  5. Step 5: Solve for x
    x = 3,911,871,788.32/71,762.36
  6. Step 6: Final answer
    x = 54,511.47

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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.