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Finding the Fourth Proportional to 151,230.78, 208,711.35 and 83,260.98

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Solution

The fourth proportional to 151,230.78, 208,711.35 and 83,260.98 is: 114,907.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,230.78 : 208,711.35 = 83,260.98 : x
  2. Step 2: Convert to fraction form
    151,230.78/208,711.35 = 83,260.98/x
  3. Step 3: Cross multiply
    151,230.78x = 208,711.35 × 83,260.98
  4. Step 4: Simplify right side
    151,230.78x = 17,377,511,538.12
  5. Step 5: Solve for x
    x = 17,377,511,538.12/151,230.78
  6. Step 6: Final answer
    x = 114,907.24

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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.