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Finding the Fourth Proportional to 149,624, 224,435.73 and 87,250.76

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Solution

The fourth proportional to 149,624, 224,435.73 and 87,250.76 is: 130,875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,624 : 224,435.73 = 87,250.76 : x
  2. Step 2: Convert to fraction form
    149,624/224,435.73 = 87,250.76/x
  3. Step 3: Cross multiply
    149,624x = 224,435.73 × 87,250.76
  4. Step 4: Simplify right side
    149,624x = 19,582,188,013.65
  5. Step 5: Solve for x
    x = 19,582,188,013.65/149,624
  6. Step 6: Final answer
    x = 130,875.98

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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.