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Finding the Fourth Proportional to 61,617, 92,432.80 and 20,064

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Solution

The fourth proportional to 61,617, 92,432.80 and 20,064 is: 30,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,617 : 92,432.80 = 20,064 : x
  2. Step 2: Convert to fraction form
    61,617/92,432.80 = 20,064/x
  3. Step 3: Cross multiply
    61,617x = 92,432.80 × 20,064
  4. Step 4: Simplify right side
    61,617x = 1,854,571,699.20
  5. Step 5: Solve for x
    x = 1,854,571,699.20/61,617
  6. Step 6: Final answer
    x = 30,098.38

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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.