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Finding the Fourth Proportional to 99,564.47, 137,397.36 and 54,243

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Solution

The fourth proportional to 99,564.47, 137,397.36 and 54,243 is: 74,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,564.47 : 137,397.36 = 54,243 : x
  2. Step 2: Convert to fraction form
    99,564.47/137,397.36 = 54,243/x
  3. Step 3: Cross multiply
    99,564.47x = 137,397.36 × 54,243
  4. Step 4: Simplify right side
    99,564.47x = 7,452,844,998.48
  5. Step 5: Solve for x
    x = 7,452,844,998.48/99,564.47
  6. Step 6: Final answer
    x = 74,854.46

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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.