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Finding the Fourth Proportional to 56,725.92, 78,284.88 and 31,574.88

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Solution

The fourth proportional to 56,725.92, 78,284.88 and 31,574.88 is: 43,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,725.92 : 78,284.88 = 31,574.88 : x
  2. Step 2: Convert to fraction form
    56,725.92/78,284.88 = 31,574.88/x
  3. Step 3: Cross multiply
    56,725.92x = 78,284.88 × 31,574.88
  4. Step 4: Simplify right side
    56,725.92x = 2,471,835,691.81
  5. Step 5: Solve for x
    x = 2,471,835,691.81/56,725.92
  6. Step 6: Final answer
    x = 43,575.07

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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.