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Finding the Fourth Proportional to 172,350.38, 258,386.10 and 77,511.10

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Solution

The fourth proportional to 172,350.38, 258,386.10 and 77,511.10 is: 116,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,350.38 : 258,386.10 = 77,511.10 : x
  2. Step 2: Convert to fraction form
    172,350.38/258,386.10 = 77,511.10/x
  3. Step 3: Cross multiply
    172,350.38x = 258,386.10 × 77,511.10
  4. Step 4: Simplify right side
    172,350.38x = 20,027,790,835.71
  5. Step 5: Solve for x
    x = 20,027,790,835.71/172,350.38
  6. Step 6: Final answer
    x = 116,203.93

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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.