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Finding the Fourth Proportional to 96,931.50, 145,397.25 and 31,267.50

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Solution

The fourth proportional to 96,931.50, 145,397.25 and 31,267.50 is: 46,901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,931.50 : 145,397.25 = 31,267.50 : x
  2. Step 2: Convert to fraction form
    96,931.50/145,397.25 = 31,267.50/x
  3. Step 3: Cross multiply
    96,931.50x = 145,397.25 × 31,267.50
  4. Step 4: Simplify right side
    96,931.50x = 4,546,208,514.38
  5. Step 5: Solve for x
    x = 4,546,208,514.38/96,931.50
  6. Step 6: Final answer
    x = 46,901.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.