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Finding the Fourth Proportional to 61,838.74, 92,784.48 and 19,722.16

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Solution

The fourth proportional to 61,838.74, 92,784.48 and 19,722.16 is: 29,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,838.74 : 92,784.48 = 19,722.16 : x
  2. Step 2: Convert to fraction form
    61,838.74/92,784.48 = 19,722.16/x
  3. Step 3: Cross multiply
    61,838.74x = 92,784.48 × 19,722.16
  4. Step 4: Simplify right side
    61,838.74x = 1,829,910,360.08
  5. Step 5: Solve for x
    x = 1,829,910,360.08/61,838.74
  6. Step 6: Final answer
    x = 29,591.65

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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.