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Finding the Fourth Proportional to 152,144.68, 209,959.50 and 85,076.68

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Solution

The fourth proportional to 152,144.68, 209,959.50 and 85,076.68 is: 117,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,144.68 : 209,959.50 = 85,076.68 : x
  2. Step 2: Convert to fraction form
    152,144.68/209,959.50 = 85,076.68/x
  3. Step 3: Cross multiply
    152,144.68x = 209,959.50 × 85,076.68
  4. Step 4: Simplify right side
    152,144.68x = 17,862,657,194.46
  5. Step 5: Solve for x
    x = 17,862,657,194.46/152,144.68
  6. Step 6: Final answer
    x = 117,405.73

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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.