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Finding the Fourth Proportional to 179,280, 247,406.40 and 99,792

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Solution

The fourth proportional to 179,280, 247,406.40 and 99,792 is: 137,712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,280 : 247,406.40 = 99,792 : x
  2. Step 2: Convert to fraction form
    179,280/247,406.40 = 99,792/x
  3. Step 3: Cross multiply
    179,280x = 247,406.40 × 99,792
  4. Step 4: Simplify right side
    179,280x = 24,689,179,468.80
  5. Step 5: Solve for x
    x = 24,689,179,468.80/179,280
  6. Step 6: Final answer
    x = 137,712.96

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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.