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Finding the Fourth Proportional to 77,422, 106,844.52 and 43,890.16

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Solution

The fourth proportional to 77,422, 106,844.52 and 43,890.16 is: 60,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,422 : 106,844.52 = 43,890.16 : x
  2. Step 2: Convert to fraction form
    77,422/106,844.52 = 43,890.16/x
  3. Step 3: Cross multiply
    77,422x = 106,844.52 × 43,890.16
  4. Step 4: Simplify right side
    77,422x = 4,689,423,077.92
  5. Step 5: Solve for x
    x = 4,689,423,077.92/77,422
  6. Step 6: Final answer
    x = 60,569.65

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1.5x scale

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.