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Finding the Fourth Proportional to 172,510.10, 258,765.15 and 54,193.40

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Solution

The fourth proportional to 172,510.10, 258,765.15 and 54,193.40 is: 81,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,510.10 : 258,765.15 = 54,193.40 : x
  2. Step 2: Convert to fraction form
    172,510.10/258,765.15 = 54,193.40/x
  3. Step 3: Cross multiply
    172,510.10x = 258,765.15 × 54,193.40
  4. Step 4: Simplify right side
    172,510.10x = 14,023,363,280.01
  5. Step 5: Solve for x
    x = 14,023,363,280.01/172,510.10
  6. Step 6: Final answer
    x = 81,290.10

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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.