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Finding the Fourth Proportional to 172,374.30, 258,561.45 and 149,564.70

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Solution

The fourth proportional to 172,374.30, 258,561.45 and 149,564.70 is: 224,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,374.30 : 258,561.45 = 149,564.70 : x
  2. Step 2: Convert to fraction form
    172,374.30/258,561.45 = 149,564.70/x
  3. Step 3: Cross multiply
    172,374.30x = 258,561.45 × 149,564.70
  4. Step 4: Simplify right side
    172,374.30x = 38,671,665,700.82
  5. Step 5: Solve for x
    x = 38,671,665,700.82/172,374.30
  6. Step 6: Final answer
    x = 224,347.05

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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.