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Finding the Fourth Proportional to 83,378.61, 115,080.35 and 53,156.97

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Solution

The fourth proportional to 83,378.61, 115,080.35 and 53,156.97 is: 73,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,378.61 : 115,080.35 = 53,156.97 : x
  2. Step 2: Convert to fraction form
    83,378.61/115,080.35 = 53,156.97/x
  3. Step 3: Cross multiply
    83,378.61x = 115,080.35 × 53,156.97
  4. Step 4: Simplify right side
    83,378.61x = 6,117,322,446.75
  5. Step 5: Solve for x
    x = 6,117,322,446.75/83,378.61
  6. Step 6: Final answer
    x = 73,368.01

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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.