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Finding the Fourth Proportional to 83,178, 114,785.64 and 45,452.16

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Solution

The fourth proportional to 83,178, 114,785.64 and 45,452.16 is: 62,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178 : 114,785.64 = 45,452.16 : x
  2. Step 2: Convert to fraction form
    83,178/114,785.64 = 45,452.16/x
  3. Step 3: Cross multiply
    83,178x = 114,785.64 × 45,452.16
  4. Step 4: Simplify right side
    83,178x = 5,217,255,274.98
  5. Step 5: Solve for x
    x = 5,217,255,274.98/83,178
  6. Step 6: Final answer
    x = 62,723.98

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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.