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Finding the Fourth Proportional to 169,162.84, 253,042.98 and 128,877

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Solution

The fourth proportional to 169,162.84, 253,042.98 and 128,877 is: 192,781.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,162.84 : 253,042.98 = 128,877 : x
  2. Step 2: Convert to fraction form
    169,162.84/253,042.98 = 128,877/x
  3. Step 3: Cross multiply
    169,162.84x = 253,042.98 × 128,877
  4. Step 4: Simplify right side
    169,162.84x = 32,611,420,133.46
  5. Step 5: Solve for x
    x = 32,611,420,133.46/169,162.84
  6. Step 6: Final answer
    x = 192,781.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.