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Finding the Fourth Proportional to 47,891.76, 66,072.76 and 47,817.92

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Solution

The fourth proportional to 47,891.76, 66,072.76 and 47,817.92 is: 65,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,891.76 : 66,072.76 = 47,817.92 : x
  2. Step 2: Convert to fraction form
    47,891.76/66,072.76 = 47,817.92/x
  3. Step 3: Cross multiply
    47,891.76x = 66,072.76 × 47,817.92
  4. Step 4: Simplify right side
    47,891.76x = 3,159,461,951.86
  5. Step 5: Solve for x
    x = 3,159,461,951.86/47,891.76
  6. Step 6: Final answer
    x = 65,970.89

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1.5x scale

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.