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Finding the Fourth Proportional to 56,354.50, 77,769.21 and 31,204

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Solution

The fourth proportional to 56,354.50, 77,769.21 and 31,204 is: 43,061.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,354.50 : 77,769.21 = 31,204 : x
  2. Step 2: Convert to fraction form
    56,354.50/77,769.21 = 31,204/x
  3. Step 3: Cross multiply
    56,354.50x = 77,769.21 × 31,204
  4. Step 4: Simplify right side
    56,354.50x = 2,426,710,428.84
  5. Step 5: Solve for x
    x = 2,426,710,428.84/56,354.50
  6. Step 6: Final answer
    x = 43,061.52

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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.