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Finding the Fourth Proportional to 144,147.84, 198,959.40 and 87,596.88

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Solution

The fourth proportional to 144,147.84, 198,959.40 and 87,596.88 is: 120,905.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,147.84 : 198,959.40 = 87,596.88 : x
  2. Step 2: Convert to fraction form
    144,147.84/198,959.40 = 87,596.88/x
  3. Step 3: Cross multiply
    144,147.84x = 198,959.40 × 87,596.88
  4. Step 4: Simplify right side
    144,147.84x = 17,428,222,686.67
  5. Step 5: Solve for x
    x = 17,428,222,686.67/144,147.84
  6. Step 6: Final answer
    x = 120,905.19

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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.