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Finding the Fourth Proportional to 99,587, 137,432.22 and 54,875

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Solution

The fourth proportional to 99,587, 137,432.22 and 54,875 is: 75,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,587 : 137,432.22 = 54,875 : x
  2. Step 2: Convert to fraction form
    99,587/137,432.22 = 54,875/x
  3. Step 3: Cross multiply
    99,587x = 137,432.22 × 54,875
  4. Step 4: Simplify right side
    99,587x = 7,541,593,072.50
  5. Step 5: Solve for x
    x = 7,541,593,072.50/99,587
  6. Step 6: Final answer
    x = 75,728.69

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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.