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Finding the Fourth Proportional to 150,575.76, 207,787.95 and 90,180

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Solution

The fourth proportional to 150,575.76, 207,787.95 and 90,180 is: 124,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,575.76 : 207,787.95 = 90,180 : x
  2. Step 2: Convert to fraction form
    150,575.76/207,787.95 = 90,180/x
  3. Step 3: Cross multiply
    150,575.76x = 207,787.95 × 90,180
  4. Step 4: Simplify right side
    150,575.76x = 18,738,317,331
  5. Step 5: Solve for x
    x = 18,738,317,331/150,575.76
  6. Step 6: Final answer
    x = 124,444.45

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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.