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Finding the Fourth Proportional to 73,818, 101,868.93 and 40,284

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Solution

The fourth proportional to 73,818, 101,868.93 and 40,284 is: 55,591.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,818 : 101,868.93 = 40,284 : x
  2. Step 2: Convert to fraction form
    73,818/101,868.93 = 40,284/x
  3. Step 3: Cross multiply
    73,818x = 101,868.93 × 40,284
  4. Step 4: Simplify right side
    73,818x = 4,103,687,976.12
  5. Step 5: Solve for x
    x = 4,103,687,976.12/73,818
  6. Step 6: Final answer
    x = 55,591.97

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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.