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Finding the Fourth Proportional to 102,575.80, 153,863.70 and 86,829.40

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Solution

The fourth proportional to 102,575.80, 153,863.70 and 86,829.40 is: 130,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,575.80 : 153,863.70 = 86,829.40 : x
  2. Step 2: Convert to fraction form
    102,575.80/153,863.70 = 86,829.40/x
  3. Step 3: Cross multiply
    102,575.80x = 153,863.70 × 86,829.40
  4. Step 4: Simplify right side
    102,575.80x = 13,359,892,752.78
  5. Step 5: Solve for x
    x = 13,359,892,752.78/102,575.80
  6. Step 6: Final answer
    x = 130,244.10

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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.