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Finding the Fourth Proportional to 145,950, 201,411.08 and 78,882

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Solution

The fourth proportional to 145,950, 201,411.08 and 78,882 is: 108,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,950 : 201,411.08 = 78,882 : x
  2. Step 2: Convert to fraction form
    145,950/201,411.08 = 78,882/x
  3. Step 3: Cross multiply
    145,950x = 201,411.08 × 78,882
  4. Step 4: Simplify right side
    145,950x = 15,887,708,812.56
  5. Step 5: Solve for x
    x = 15,887,708,812.56/145,950
  6. Step 6: Final answer
    x = 108,857.20

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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.