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Finding the Fourth Proportional to 144,019.28, 198,737.16 and 90,302

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Solution

The fourth proportional to 144,019.28, 198,737.16 and 90,302 is: 124,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,019.28 : 198,737.16 = 90,302 : x
  2. Step 2: Convert to fraction form
    144,019.28/198,737.16 = 90,302/x
  3. Step 3: Cross multiply
    144,019.28x = 198,737.16 × 90,302
  4. Step 4: Simplify right side
    144,019.28x = 17,946,363,022.32
  5. Step 5: Solve for x
    x = 17,946,363,022.32/144,019.28
  6. Step 6: Final answer
    x = 124,610.84

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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.