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Finding the Fourth Proportional to 56,396.48, 77,827.68 and 31,248.32

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Solution

The fourth proportional to 56,396.48, 77,827.68 and 31,248.32 is: 43,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,396.48 : 77,827.68 = 31,248.32 : x
  2. Step 2: Convert to fraction form
    56,396.48/77,827.68 = 31,248.32/x
  3. Step 3: Cross multiply
    56,396.48x = 77,827.68 × 31,248.32
  4. Step 4: Simplify right side
    56,396.48x = 2,431,984,249.50
  5. Step 5: Solve for x
    x = 2,431,984,249.50/56,396.48
  6. Step 6: Final answer
    x = 43,122.98

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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.