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Finding the Fourth Proportional to 152,144.83, 209,889.12 and 98,447.13

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Solution

The fourth proportional to 152,144.83, 209,889.12 and 98,447.13 is: 135,811.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,144.83 : 209,889.12 = 98,447.13 : x
  2. Step 2: Convert to fraction form
    152,144.83/209,889.12 = 98,447.13/x
  3. Step 3: Cross multiply
    152,144.83x = 209,889.12 × 98,447.13
  4. Step 4: Simplify right side
    152,144.83x = 20,662,981,851.40
  5. Step 5: Solve for x
    x = 20,662,981,851.40/152,144.83
  6. Step 6: Final answer
    x = 135,811.26

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1.5x scale

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.