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Finding the Fourth Proportional to 137,204.62, 205,868.03 and 87,271.76

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Solution

The fourth proportional to 137,204.62, 205,868.03 and 87,271.76 is: 130,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,204.62 : 205,868.03 = 87,271.76 : x
  2. Step 2: Convert to fraction form
    137,204.62/205,868.03 = 87,271.76/x
  3. Step 3: Cross multiply
    137,204.62x = 205,868.03 × 87,271.76
  4. Step 4: Simplify right side
    137,204.62x = 17,966,465,384.14
  5. Step 5: Solve for x
    x = 17,966,465,384.14/137,204.62
  6. Step 6: Final answer
    x = 130,946.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.