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Finding the Fourth Proportional to 58,335, 80,502.30 and 31,839

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Solution

The fourth proportional to 58,335, 80,502.30 and 31,839 is: 43,937.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,335 : 80,502.30 = 31,839 : x
  2. Step 2: Convert to fraction form
    58,335/80,502.30 = 31,839/x
  3. Step 3: Cross multiply
    58,335x = 80,502.30 × 31,839
  4. Step 4: Simplify right side
    58,335x = 2,563,112,729.70
  5. Step 5: Solve for x
    x = 2,563,112,729.70/58,335
  6. Step 6: Final answer
    x = 43,937.82

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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.