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Finding the Fourth Proportional to 83,378.76, 115,061.32 and 45,652.96

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Solution

The fourth proportional to 83,378.76, 115,061.32 and 45,652.96 is: 63,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,378.76 : 115,061.32 = 45,652.96 : x
  2. Step 2: Convert to fraction form
    83,378.76/115,061.32 = 45,652.96/x
  3. Step 3: Cross multiply
    83,378.76x = 115,061.32 × 45,652.96
  4. Step 4: Simplify right side
    83,378.76x = 5,252,889,839.51
  5. Step 5: Solve for x
    x = 5,252,889,839.51/83,378.76
  6. Step 6: Final answer
    x = 63,000.34

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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.