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Finding the Fourth Proportional to 47,085.78, 64,978.86 and 25,575.72

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Solution

The fourth proportional to 47,085.78, 64,978.86 and 25,575.72 is: 35,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,085.78 : 64,978.86 = 25,575.72 : x
  2. Step 2: Convert to fraction form
    47,085.78/64,978.86 = 25,575.72/x
  3. Step 3: Cross multiply
    47,085.78x = 64,978.86 × 25,575.72
  4. Step 4: Simplify right side
    47,085.78x = 1,661,881,385.91
  5. Step 5: Solve for x
    x = 1,661,881,385.91/47,085.78
  6. Step 6: Final answer
    x = 35,294.76

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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.