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Finding the Fourth Proportional to 138,485.46, 207,821.54 and 48,528.98

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Solution

The fourth proportional to 138,485.46, 207,821.54 and 48,528.98 is: 72,826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,485.46 : 207,821.54 = 48,528.98 : x
  2. Step 2: Convert to fraction form
    138,485.46/207,821.54 = 48,528.98/x
  3. Step 3: Cross multiply
    138,485.46x = 207,821.54 × 48,528.98
  4. Step 4: Simplify right side
    138,485.46x = 10,085,367,358.23
  5. Step 5: Solve for x
    x = 10,085,367,358.23/138,485.46
  6. Step 6: Final answer
    x = 72,826.18

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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.