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Finding the Fourth Proportional to 138,281.40, 207,276.30 and 78,989.40

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Solution

The fourth proportional to 138,281.40, 207,276.30 and 78,989.40 is: 118,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,281.40 : 207,276.30 = 78,989.40 : x
  2. Step 2: Convert to fraction form
    138,281.40/207,276.30 = 78,989.40/x
  3. Step 3: Cross multiply
    138,281.40x = 207,276.30 × 78,989.40
  4. Step 4: Simplify right side
    138,281.40x = 16,372,630,571.22
  5. Step 5: Solve for x
    x = 16,372,630,571.22/138,281.40
  6. Step 6: Final answer
    x = 118,400.82

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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.