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Finding the Fourth Proportional to 172,010.16, 257,898.12 and 87,562.80

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Solution

The fourth proportional to 172,010.16, 257,898.12 and 87,562.80 is: 131,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,010.16 : 257,898.12 = 87,562.80 : x
  2. Step 2: Convert to fraction form
    172,010.16/257,898.12 = 87,562.80/x
  3. Step 3: Cross multiply
    172,010.16x = 257,898.12 × 87,562.80
  4. Step 4: Simplify right side
    172,010.16x = 22,582,281,501.94
  5. Step 5: Solve for x
    x = 22,582,281,501.94/172,010.16
  6. Step 6: Final answer
    x = 131,284.58

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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.