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Finding the Fourth Proportional to 151,720.82, 209,373.69 and 83,737.79

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Solution

The fourth proportional to 151,720.82, 209,373.69 and 83,737.79 is: 115,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,720.82 : 209,373.69 = 83,737.79 : x
  2. Step 2: Convert to fraction form
    151,720.82/209,373.69 = 83,737.79/x
  3. Step 3: Cross multiply
    151,720.82x = 209,373.69 × 83,737.79
  4. Step 4: Simplify right side
    151,720.82x = 17,532,490,137.04
  5. Step 5: Solve for x
    x = 17,532,490,137.04/151,720.82
  6. Step 6: Final answer
    x = 115,557.58

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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.