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Finding the Fourth Proportional to 58,534.78, 80,778 and 31,677.30

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Solution

The fourth proportional to 58,534.78, 80,778 and 31,677.30 is: 43,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,534.78 : 80,778 = 31,677.30 : x
  2. Step 2: Convert to fraction form
    58,534.78/80,778 = 31,677.30/x
  3. Step 3: Cross multiply
    58,534.78x = 80,778 × 31,677.30
  4. Step 4: Simplify right side
    58,534.78x = 2,558,828,939.40
  5. Step 5: Solve for x
    x = 2,558,828,939.40/58,534.78
  6. Step 6: Final answer
    x = 43,714.68

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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.