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Finding the Fourth Proportional to 65,657.78, 97,862.09 and 61,920.74

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Solution

The fourth proportional to 65,657.78, 97,862.09 and 61,920.74 is: 92,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,657.78 : 97,862.09 = 61,920.74 : x
  2. Step 2: Convert to fraction form
    65,657.78/97,862.09 = 61,920.74/x
  3. Step 3: Cross multiply
    65,657.78x = 97,862.09 × 61,920.74
  4. Step 4: Simplify right side
    65,657.78x = 6,059,692,231.83
  5. Step 5: Solve for x
    x = 6,059,692,231.83/65,657.78
  6. Step 6: Final answer
    x = 92,292.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.