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Finding the Fourth Proportional to 56,398.50, 77,832.48 and 31,248

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Solution

The fourth proportional to 56,398.50, 77,832.48 and 31,248 is: 43,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,398.50 : 77,832.48 = 31,248 : x
  2. Step 2: Convert to fraction form
    56,398.50/77,832.48 = 31,248/x
  3. Step 3: Cross multiply
    56,398.50x = 77,832.48 × 31,248
  4. Step 4: Simplify right side
    56,398.50x = 2,432,109,335.04
  5. Step 5: Solve for x
    x = 2,432,109,335.04/56,398.50
  6. Step 6: Final answer
    x = 43,123.65

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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.