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Finding the Fourth Proportional to 99,513.56, 137,306.48 and 83,445.86

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Solution

The fourth proportional to 99,513.56, 137,306.48 and 83,445.86 is: 115,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,513.56 : 137,306.48 = 83,445.86 : x
  2. Step 2: Convert to fraction form
    99,513.56/137,306.48 = 83,445.86/x
  3. Step 3: Cross multiply
    99,513.56x = 137,306.48 × 83,445.86
  4. Step 4: Simplify right side
    99,513.56x = 11,457,657,307.17
  5. Step 5: Solve for x
    x = 11,457,657,307.17/99,513.56
  6. Step 6: Final answer
    x = 115,136.64

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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.