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Finding the Fourth Proportional to 138,803.80, 208,343.94 and 76,503.64

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Solution

The fourth proportional to 138,803.80, 208,343.94 and 76,503.64 is: 114,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,803.80 : 208,343.94 = 76,503.64 : x
  2. Step 2: Convert to fraction form
    138,803.80/208,343.94 = 76,503.64/x
  3. Step 3: Cross multiply
    138,803.80x = 208,343.94 × 76,503.64
  4. Step 4: Simplify right side
    138,803.80x = 15,939,069,781.94
  5. Step 5: Solve for x
    x = 15,939,069,781.94/138,803.80
  6. Step 6: Final answer
    x = 114,831.65

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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.