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Finding the Fourth Proportional to 169,053, 253,666.98 and 85,947

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Solution

The fourth proportional to 169,053, 253,666.98 and 85,947 is: 128,964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,053 : 253,666.98 = 85,947 : x
  2. Step 2: Convert to fraction form
    169,053/253,666.98 = 85,947/x
  3. Step 3: Cross multiply
    169,053x = 253,666.98 × 85,947
  4. Step 4: Simplify right side
    169,053x = 21,801,915,930.06
  5. Step 5: Solve for x
    x = 21,801,915,930.06/169,053
  6. Step 6: Final answer
    x = 128,964.98

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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.