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Finding the Fourth Proportional to 72,931.50, 100,645.56 and 39,397.50

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Solution

The fourth proportional to 72,931.50, 100,645.56 and 39,397.50 is: 54,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,931.50 : 100,645.56 = 39,397.50 : x
  2. Step 2: Convert to fraction form
    72,931.50/100,645.56 = 39,397.50/x
  3. Step 3: Cross multiply
    72,931.50x = 100,645.56 × 39,397.50
  4. Step 4: Simplify right side
    72,931.50x = 3,965,183,450.10
  5. Step 5: Solve for x
    x = 3,965,183,450.10/72,931.50
  6. Step 6: Final answer
    x = 54,368.60

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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.