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Finding the Fourth Proportional to 99,370, 137,132.76 and 54,658

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Solution

The fourth proportional to 99,370, 137,132.76 and 54,658 is: 75,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,370 : 137,132.76 = 54,658 : x
  2. Step 2: Convert to fraction form
    99,370/137,132.76 = 54,658/x
  3. Step 3: Cross multiply
    99,370x = 137,132.76 × 54,658
  4. Step 4: Simplify right side
    99,370x = 7,495,402,396.08
  5. Step 5: Solve for x
    x = 7,495,402,396.08/99,370
  6. Step 6: Final answer
    x = 75,429.23

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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.