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Finding the Fourth Proportional to 47,889.76, 66,070 and 47,815.92

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Solution

The fourth proportional to 47,889.76, 66,070 and 47,815.92 is: 65,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,889.76 : 66,070 = 47,815.92 : x
  2. Step 2: Convert to fraction form
    47,889.76/66,070 = 47,815.92/x
  3. Step 3: Cross multiply
    47,889.76x = 66,070 × 47,815.92
  4. Step 4: Simplify right side
    47,889.76x = 3,159,197,834.40
  5. Step 5: Solve for x
    x = 3,159,197,834.40/47,889.76
  6. Step 6: Final answer
    x = 65,968.13

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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.