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Finding the Fourth Proportional to 72,322.16, 99,815.06 and 40,493.11

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Solution

The fourth proportional to 72,322.16, 99,815.06 and 40,493.11 is: 55,886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,322.16 : 99,815.06 = 40,493.11 : x
  2. Step 2: Convert to fraction form
    72,322.16/99,815.06 = 40,493.11/x
  3. Step 3: Cross multiply
    72,322.16x = 99,815.06 × 40,493.11
  4. Step 4: Simplify right side
    72,322.16x = 4,041,822,204.24
  5. Step 5: Solve for x
    x = 4,041,822,204.24/72,322.16
  6. Step 6: Final answer
    x = 55,886.36

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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.