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Finding the Fourth Proportional to 151,763.68, 209,455 and 84,700

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Solution

The fourth proportional to 151,763.68, 209,455 and 84,700 is: 116,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,763.68 : 209,455 = 84,700 : x
  2. Step 2: Convert to fraction form
    151,763.68/209,455 = 84,700/x
  3. Step 3: Cross multiply
    151,763.68x = 209,455 × 84,700
  4. Step 4: Simplify right side
    151,763.68x = 17,740,838,500
  5. Step 5: Solve for x
    x = 17,740,838,500/151,763.68
  6. Step 6: Final answer
    x = 116,897.79

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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.