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Finding the Fourth Proportional to 56,742.80, 78,303.66 and 31,591.76

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Solution

The fourth proportional to 56,742.80, 78,303.66 and 31,591.76 is: 43,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,742.80 : 78,303.66 = 31,591.76 : x
  2. Step 2: Convert to fraction form
    56,742.80/78,303.66 = 31,591.76/x
  3. Step 3: Cross multiply
    56,742.80x = 78,303.66 × 31,591.76
  4. Step 4: Simplify right side
    56,742.80x = 2,473,750,433.84
  5. Step 5: Solve for x
    x = 2,473,750,433.84/56,742.80
  6. Step 6: Final answer
    x = 43,595.85

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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.