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Finding the Fourth Proportional to 150,546, 207,785.88 and 90,130.12

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Solution

The fourth proportional to 150,546, 207,785.88 and 90,130.12 is: 124,398.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,546 : 207,785.88 = 90,130.12 : x
  2. Step 2: Convert to fraction form
    150,546/207,785.88 = 90,130.12/x
  3. Step 3: Cross multiply
    150,546x = 207,785.88 × 90,130.12
  4. Step 4: Simplify right side
    150,546x = 18,727,766,298.71
  5. Step 5: Solve for x
    x = 18,727,766,298.71/150,546
  6. Step 6: Final answer
    x = 124,398.96

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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.