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Finding the Fourth Proportional to 138,061.40, 207,120.90 and 78,848.60

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Solution

The fourth proportional to 138,061.40, 207,120.90 and 78,848.60 is: 118,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,061.40 : 207,120.90 = 78,848.60 : x
  2. Step 2: Convert to fraction form
    138,061.40/207,120.90 = 78,848.60/x
  3. Step 3: Cross multiply
    138,061.40x = 207,120.90 × 78,848.60
  4. Step 4: Simplify right side
    138,061.40x = 16,331,192,995.74
  5. Step 5: Solve for x
    x = 16,331,192,995.74/138,061.40
  6. Step 6: Final answer
    x = 118,289.35

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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.