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Finding the Fourth Proportional to 56,424.12, 77,823.90 and 40,524.90

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Solution

The fourth proportional to 56,424.12, 77,823.90 and 40,524.90 is: 55,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,424.12 : 77,823.90 = 40,524.90 : x
  2. Step 2: Convert to fraction form
    56,424.12/77,823.90 = 40,524.90/x
  3. Step 3: Cross multiply
    56,424.12x = 77,823.90 × 40,524.90
  4. Step 4: Simplify right side
    56,424.12x = 3,153,805,765.11
  5. Step 5: Solve for x
    x = 3,153,805,765.11/56,424.12
  6. Step 6: Final answer
    x = 55,894.64

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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.