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Finding the Fourth Proportional to 138,466.20, 207,721.14 and 48,533.70

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Solution

The fourth proportional to 138,466.20, 207,721.14 and 48,533.70 is: 72,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,466.20 : 207,721.14 = 48,533.70 : x
  2. Step 2: Convert to fraction form
    138,466.20/207,721.14 = 48,533.70/x
  3. Step 3: Cross multiply
    138,466.20x = 207,721.14 × 48,533.70
  4. Step 4: Simplify right side
    138,466.20x = 10,081,475,492.42
  5. Step 5: Solve for x
    x = 10,081,475,492.42/138,466.20
  6. Step 6: Final answer
    x = 72,808.21

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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.