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Finding the Fourth Proportional to 152,022.32, 209,850 and 136,079.20

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Solution

The fourth proportional to 152,022.32, 209,850 and 136,079.20 is: 187,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,022.32 : 209,850 = 136,079.20 : x
  2. Step 2: Convert to fraction form
    152,022.32/209,850 = 136,079.20/x
  3. Step 3: Cross multiply
    152,022.32x = 209,850 × 136,079.20
  4. Step 4: Simplify right side
    152,022.32x = 28,556,220,120.00
  5. Step 5: Solve for x
    x = 28,556,220,120.00/152,022.32
  6. Step 6: Final answer
    x = 187,842.29

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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.