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Finding the Fourth Proportional to 56,394.90, 77,824.80 and 31,244.40

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Solution

The fourth proportional to 56,394.90, 77,824.80 and 31,244.40 is: 43,117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,394.90 : 77,824.80 = 31,244.40 : x
  2. Step 2: Convert to fraction form
    56,394.90/77,824.80 = 31,244.40/x
  3. Step 3: Cross multiply
    56,394.90x = 77,824.80 × 31,244.40
  4. Step 4: Simplify right side
    56,394.90x = 2,431,589,181.12
  5. Step 5: Solve for x
    x = 2,431,589,181.12/56,394.90
  6. Step 6: Final answer
    x = 43,117.18

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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.