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Finding the Fourth Proportional to 102,578.60, 153,714.30 and 86,911.40

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Solution

The fourth proportional to 102,578.60, 153,714.30 and 86,911.40 is: 130,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,578.60 : 153,714.30 = 86,911.40 : x
  2. Step 2: Convert to fraction form
    102,578.60/153,714.30 = 86,911.40/x
  3. Step 3: Cross multiply
    102,578.60x = 153,714.30 × 86,911.40
  4. Step 4: Simplify right side
    102,578.60x = 13,359,525,013.02
  5. Step 5: Solve for x
    x = 13,359,525,013.02/102,578.60
  6. Step 6: Final answer
    x = 130,236.96

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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.