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Finding the Fourth Proportional to 99,265, 136,985.70 and 54,553

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Solution

The fourth proportional to 99,265, 136,985.70 and 54,553 is: 75,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,265 : 136,985.70 = 54,553 : x
  2. Step 2: Convert to fraction form
    99,265/136,985.70 = 54,553/x
  3. Step 3: Cross multiply
    99,265x = 136,985.70 × 54,553
  4. Step 4: Simplify right side
    99,265x = 7,472,980,892.10
  5. Step 5: Solve for x
    x = 7,472,980,892.10/99,265
  6. Step 6: Final answer
    x = 75,283.14

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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.