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Finding the Fourth Proportional to 83,060.64, 114,621.48 and 76,373.28

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Solution

The fourth proportional to 83,060.64, 114,621.48 and 76,373.28 is: 105,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,060.64 : 114,621.48 = 76,373.28 : x
  2. Step 2: Convert to fraction form
    83,060.64/114,621.48 = 76,373.28/x
  3. Step 3: Cross multiply
    83,060.64x = 114,621.48 × 76,373.28
  4. Step 4: Simplify right side
    83,060.64x = 8,754,018,386.05
  5. Step 5: Solve for x
    x = 8,754,018,386.05/83,060.64
  6. Step 6: Final answer
    x = 105,393.10

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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.