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Finding the Fourth Proportional to 61,931.80, 92,892.30 and 20,378.80

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Solution

The fourth proportional to 61,931.80, 92,892.30 and 20,378.80 is: 30,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,931.80 : 92,892.30 = 20,378.80 : x
  2. Step 2: Convert to fraction form
    61,931.80/92,892.30 = 20,378.80/x
  3. Step 3: Cross multiply
    61,931.80x = 92,892.30 × 20,378.80
  4. Step 4: Simplify right side
    61,931.80x = 1,893,033,603.24
  5. Step 5: Solve for x
    x = 1,893,033,603.24/61,931.80
  6. Step 6: Final answer
    x = 30,566.42

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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.