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Finding the Fourth Proportional to 61,347.70, 91,985.10 and 31,823.20

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Solution

The fourth proportional to 61,347.70, 91,985.10 and 31,823.20 is: 47,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,347.70 : 91,985.10 = 31,823.20 : x
  2. Step 2: Convert to fraction form
    61,347.70/91,985.10 = 31,823.20/x
  3. Step 3: Cross multiply
    61,347.70x = 91,985.10 × 31,823.20
  4. Step 4: Simplify right side
    61,347.70x = 2,927,260,234.32
  5. Step 5: Solve for x
    x = 2,927,260,234.32/61,347.70
  6. Step 6: Final answer
    x = 47,715.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.