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Finding the Fourth Proportional to 187,452, 258,687 and 102,570.48

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Solution

The fourth proportional to 187,452, 258,687 and 102,570.48 is: 141,549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,452 : 258,687 = 102,570.48 : x
  2. Step 2: Convert to fraction form
    187,452/258,687 = 102,570.48/x
  3. Step 3: Cross multiply
    187,452x = 258,687 × 102,570.48
  4. Step 4: Simplify right side
    187,452x = 26,533,649,759.76
  5. Step 5: Solve for x
    x = 26,533,649,759.76/187,452
  6. Step 6: Final answer
    x = 141,549.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.