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Finding the Fourth Proportional to 77,708.66, 107,234.03 and 45,871.40

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Solution

The fourth proportional to 77,708.66, 107,234.03 and 45,871.40 is: 63,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,708.66 : 107,234.03 = 45,871.40 : x
  2. Step 2: Convert to fraction form
    77,708.66/107,234.03 = 45,871.40/x
  3. Step 3: Cross multiply
    77,708.66x = 107,234.03 × 45,871.40
  4. Step 4: Simplify right side
    77,708.66x = 4,918,974,318.21
  5. Step 5: Solve for x
    x = 4,918,974,318.21/77,708.66
  6. Step 6: Final answer
    x = 63,300.21

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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.