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Finding the Fourth Proportional to 145,223.56, 217,641.52 and 77,617

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Solution

The fourth proportional to 145,223.56, 217,641.52 and 77,617 is: 116,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,223.56 : 217,641.52 = 77,617 : x
  2. Step 2: Convert to fraction form
    145,223.56/217,641.52 = 77,617/x
  3. Step 3: Cross multiply
    145,223.56x = 217,641.52 × 77,617
  4. Step 4: Simplify right side
    145,223.56x = 16,892,681,857.84
  5. Step 5: Solve for x
    x = 16,892,681,857.84/145,223.56
  6. Step 6: Final answer
    x = 116,321.91

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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.