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Finding the Fourth Proportional to 138,574.40, 207,861.60 and 49,830.80

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Solution

The fourth proportional to 138,574.40, 207,861.60 and 49,830.80 is: 74,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,574.40 : 207,861.60 = 49,830.80 : x
  2. Step 2: Convert to fraction form
    138,574.40/207,861.60 = 49,830.80/x
  3. Step 3: Cross multiply
    138,574.40x = 207,861.60 × 49,830.80
  4. Step 4: Simplify right side
    138,574.40x = 10,357,909,817.28
  5. Step 5: Solve for x
    x = 10,357,909,817.28/138,574.40
  6. Step 6: Final answer
    x = 74,746.20

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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.