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Finding the Fourth Proportional to 102,354.12, 153,531.17 and 39,980.88

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Solution

The fourth proportional to 102,354.12, 153,531.17 and 39,980.88 is: 59,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,354.12 : 153,531.17 = 39,980.88 : x
  2. Step 2: Convert to fraction form
    102,354.12/153,531.17 = 39,980.88/x
  3. Step 3: Cross multiply
    102,354.12x = 153,531.17 × 39,980.88
  4. Step 4: Simplify right side
    102,354.12x = 6,138,310,616.33
  5. Step 5: Solve for x
    x = 6,138,310,616.33/102,354.12
  6. Step 6: Final answer
    x = 59,971.31

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1.5x scale

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.