Home / 109,941.28-164,944.74-77,981.92

Finding the Fourth Proportional to 109,941.28, 164,944.74 and 77,981.92

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Solution

The fourth proportional to 109,941.28, 164,944.74 and 77,981.92 is: 116,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,941.28 : 164,944.74 = 77,981.92 : x
  2. Step 2: Convert to fraction form
    109,941.28/164,944.74 = 77,981.92/x
  3. Step 3: Cross multiply
    109,941.28x = 164,944.74 × 77,981.92
  4. Step 4: Simplify right side
    109,941.28x = 12,862,707,519.10
  5. Step 5: Solve for x
    x = 12,862,707,519.10/109,941.28
  6. Step 6: Final answer
    x = 116,996.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.