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Finding the Fourth Proportional to 56,416.50, 77,854.77 and 31,267.62

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Solution

The fourth proportional to 56,416.50, 77,854.77 and 31,267.62 is: 43,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,416.50 : 77,854.77 = 31,267.62 : x
  2. Step 2: Convert to fraction form
    56,416.50/77,854.77 = 31,267.62/x
  3. Step 3: Cross multiply
    56,416.50x = 77,854.77 × 31,267.62
  4. Step 4: Simplify right side
    56,416.50x = 2,434,333,363.55
  5. Step 5: Solve for x
    x = 2,434,333,363.55/56,416.50
  6. Step 6: Final answer
    x = 43,149.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.