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Finding the Fourth Proportional to 91,862, 137,812.48 and 29,537.36

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Solution

The fourth proportional to 91,862, 137,812.48 and 29,537.36 is: 44,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,862 : 137,812.48 = 29,537.36 : x
  2. Step 2: Convert to fraction form
    91,862/137,812.48 = 29,537.36/x
  3. Step 3: Cross multiply
    91,862x = 137,812.48 × 29,537.36
  4. Step 4: Simplify right side
    91,862x = 4,070,616,834.25
  5. Step 5: Solve for x
    x = 4,070,616,834.25/91,862
  6. Step 6: Final answer
    x = 44,312.30

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Why These Related Problems?

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