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Finding the Fourth Proportional to 78,999.40, 108,946.92 and 61,774

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Solution

The fourth proportional to 78,999.40, 108,946.92 and 61,774 is: 85,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,999.40 : 108,946.92 = 61,774 : x
  2. Step 2: Convert to fraction form
    78,999.40/108,946.92 = 61,774/x
  3. Step 3: Cross multiply
    78,999.40x = 108,946.92 × 61,774
  4. Step 4: Simplify right side
    78,999.40x = 6,730,087,036.08
  5. Step 5: Solve for x
    x = 6,730,087,036.08/78,999.40
  6. Step 6: Final answer
    x = 85,191.62

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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.