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Finding the Fourth Proportional to 56,486.42, 77,948.62 and 30,992.21

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Solution

The fourth proportional to 56,486.42, 77,948.62 and 30,992.21 is: 42,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,486.42 : 77,948.62 = 30,992.21 : x
  2. Step 2: Convert to fraction form
    56,486.42/77,948.62 = 30,992.21/x
  3. Step 3: Cross multiply
    56,486.42x = 77,948.62 × 30,992.21
  4. Step 4: Simplify right side
    56,486.42x = 2,415,800,000.25
  5. Step 5: Solve for x
    x = 2,415,800,000.25/56,486.42
  6. Step 6: Final answer
    x = 42,767.80

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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.