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Finding the Fourth Proportional to 56,807.50, 78,394.90 and 31,314.85

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Solution

The fourth proportional to 56,807.50, 78,394.90 and 31,314.85 is: 43,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,807.50 : 78,394.90 = 31,314.85 : x
  2. Step 2: Convert to fraction form
    56,807.50/78,394.90 = 31,314.85/x
  3. Step 3: Cross multiply
    56,807.50x = 78,394.90 × 31,314.85
  4. Step 4: Simplify right side
    56,807.50x = 2,454,924,534.27
  5. Step 5: Solve for x
    x = 2,454,924,534.27/56,807.50
  6. Step 6: Final answer
    x = 43,214.80

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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.