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Finding the Fourth Proportional to 152,034.98, 209,814.17 and 100,959.62

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Solution

The fourth proportional to 152,034.98, 209,814.17 and 100,959.62 is: 139,328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,034.98 : 209,814.17 = 100,959.62 : x
  2. Step 2: Convert to fraction form
    152,034.98/209,814.17 = 100,959.62/x
  3. Step 3: Cross multiply
    152,034.98x = 209,814.17 × 100,959.62
  4. Step 4: Simplify right side
    152,034.98x = 21,182,757,319.95
  5. Step 5: Solve for x
    x = 21,182,757,319.95/152,034.98
  6. Step 6: Final answer
    x = 139,328.19

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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.