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Finding the Fourth Proportional to 150,280, 207,384.91 and 81,369.13

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Solution

The fourth proportional to 150,280, 207,384.91 and 81,369.13 is: 112,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,280 : 207,384.91 = 81,369.13 : x
  2. Step 2: Convert to fraction form
    150,280/207,384.91 = 81,369.13/x
  3. Step 3: Cross multiply
    150,280x = 207,384.91 × 81,369.13
  4. Step 4: Simplify right side
    150,280x = 16,874,729,701.83
  5. Step 5: Solve for x
    x = 16,874,729,701.83/150,280
  6. Step 6: Final answer
    x = 112,288.59

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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.