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Finding the Fourth Proportional to 100,572, 150,989.84 and 67,440.32

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Solution

The fourth proportional to 100,572, 150,989.84 and 67,440.32 is: 101,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,572 : 150,989.84 = 67,440.32 : x
  2. Step 2: Convert to fraction form
    100,572/150,989.84 = 67,440.32/x
  3. Step 3: Cross multiply
    100,572x = 150,989.84 × 67,440.32
  4. Step 4: Simplify right side
    100,572x = 10,182,803,126.35
  5. Step 5: Solve for x
    x = 10,182,803,126.35/100,572
  6. Step 6: Final answer
    x = 101,248.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.