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Finding the Fourth Proportional to 72,205.54, 99,643.66 and 40,374.52

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Solution

The fourth proportional to 72,205.54, 99,643.66 and 40,374.52 is: 55,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,205.54 : 99,643.66 = 40,374.52 : x
  2. Step 2: Convert to fraction form
    72,205.54/99,643.66 = 40,374.52/x
  3. Step 3: Cross multiply
    72,205.54x = 99,643.66 × 40,374.52
  4. Step 4: Simplify right side
    72,205.54x = 4,023,064,943.54
  5. Step 5: Solve for x
    x = 4,023,064,943.54/72,205.54
  6. Step 6: Final answer
    x = 55,716.85

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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.