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Finding the Fourth Proportional to 56,416, 77,854.08 and 31,267.12

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Solution

The fourth proportional to 56,416, 77,854.08 and 31,267.12 is: 43,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,416 : 77,854.08 = 31,267.12 : x
  2. Step 2: Convert to fraction form
    56,416/77,854.08 = 31,267.12/x
  3. Step 3: Cross multiply
    56,416x = 77,854.08 × 31,267.12
  4. Step 4: Simplify right side
    56,416x = 2,434,272,861.85
  5. Step 5: Solve for x
    x = 2,434,272,861.85/56,416
  6. Step 6: Final answer
    x = 43,148.63

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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.