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Finding the Fourth Proportional to 81,708.56, 112,740.32 and 47,701.64

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Solution

The fourth proportional to 81,708.56, 112,740.32 and 47,701.64 is: 65,818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,708.56 : 112,740.32 = 47,701.64 : x
  2. Step 2: Convert to fraction form
    81,708.56/112,740.32 = 47,701.64/x
  3. Step 3: Cross multiply
    81,708.56x = 112,740.32 × 47,701.64
  4. Step 4: Simplify right side
    81,708.56x = 5,377,898,158.12
  5. Step 5: Solve for x
    x = 5,377,898,158.12/81,708.56
  6. Step 6: Final answer
    x = 65,818.05

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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.