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Finding the Fourth Proportional to 77,897.81, 107,373.03 and 60,872.46

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Solution

The fourth proportional to 77,897.81, 107,373.03 and 60,872.46 is: 83,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,897.81 : 107,373.03 = 60,872.46 : x
  2. Step 2: Convert to fraction form
    77,897.81/107,373.03 = 60,872.46/x
  3. Step 3: Cross multiply
    77,897.81x = 107,373.03 × 60,872.46
  4. Step 4: Simplify right side
    77,897.81x = 6,536,060,473.75
  5. Step 5: Solve for x
    x = 6,536,060,473.75/77,897.81
  6. Step 6: Final answer
    x = 83,905.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.