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Finding the Fourth Proportional to 151,872.16, 209,585.84 and 88,210

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Solution

The fourth proportional to 151,872.16, 209,585.84 and 88,210 is: 121,731.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,872.16 : 209,585.84 = 88,210 : x
  2. Step 2: Convert to fraction form
    151,872.16/209,585.84 = 88,210/x
  3. Step 3: Cross multiply
    151,872.16x = 209,585.84 × 88,210
  4. Step 4: Simplify right side
    151,872.16x = 18,487,566,946.40
  5. Step 5: Solve for x
    x = 18,487,566,946.40/151,872.16
  6. Step 6: Final answer
    x = 121,731.11

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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.