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Finding the Fourth Proportional to 82,970.61, 114,472.08 and 47,147.55

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Solution

The fourth proportional to 82,970.61, 114,472.08 and 47,147.55 is: 65,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,970.61 : 114,472.08 = 47,147.55 : x
  2. Step 2: Convert to fraction form
    82,970.61/114,472.08 = 47,147.55/x
  3. Step 3: Cross multiply
    82,970.61x = 114,472.08 × 47,147.55
  4. Step 4: Simplify right side
    82,970.61x = 5,397,078,115.40
  5. Step 5: Solve for x
    x = 5,397,078,115.40/82,970.61
  6. Step 6: Final answer
    x = 65,048.07

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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.