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Finding the Fourth Proportional to 151,480.71, 209,009.70 and 86,946

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Solution

The fourth proportional to 151,480.71, 209,009.70 and 86,946 is: 119,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,480.71 : 209,009.70 = 86,946 : x
  2. Step 2: Convert to fraction form
    151,480.71/209,009.70 = 86,946/x
  3. Step 3: Cross multiply
    151,480.71x = 209,009.70 × 86,946
  4. Step 4: Simplify right side
    151,480.71x = 18,172,557,376.20
  5. Step 5: Solve for x
    x = 18,172,557,376.20/151,480.71
  6. Step 6: Final answer
    x = 119,966.15

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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.