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Finding the Fourth Proportional to 145,949.95, 201,410.84 and 78,881.95

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Solution

The fourth proportional to 145,949.95, 201,410.84 and 78,881.95 is: 108,857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,949.95 : 201,410.84 = 78,881.95 : x
  2. Step 2: Convert to fraction form
    145,949.95/201,410.84 = 78,881.95/x
  3. Step 3: Cross multiply
    145,949.95x = 201,410.84 × 78,881.95
  4. Step 4: Simplify right side
    145,949.95x = 15,887,678,408.87
  5. Step 5: Solve for x
    x = 15,887,678,408.87/145,949.95
  6. Step 6: Final answer
    x = 108,857.04

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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.