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Finding the Fourth Proportional to 151,437.66, 208,981.14 and 83,460.92

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Solution

The fourth proportional to 151,437.66, 208,981.14 and 83,460.92 is: 115,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,437.66 : 208,981.14 = 83,460.92 : x
  2. Step 2: Convert to fraction form
    151,437.66/208,981.14 = 83,460.92/x
  3. Step 3: Cross multiply
    151,437.66x = 208,981.14 × 83,460.92
  4. Step 4: Simplify right side
    151,437.66x = 17,441,758,207.05
  5. Step 5: Solve for x
    x = 17,441,758,207.05/151,437.66
  6. Step 6: Final answer
    x = 115,174.51

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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.