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Finding the Fourth Proportional to 107,643.44, 148,601.76 and 83,390.44

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Solution

The fourth proportional to 107,643.44, 148,601.76 and 83,390.44 is: 115,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,643.44 : 148,601.76 = 83,390.44 : x
  2. Step 2: Convert to fraction form
    107,643.44/148,601.76 = 83,390.44/x
  3. Step 3: Cross multiply
    107,643.44x = 148,601.76 × 83,390.44
  4. Step 4: Simplify right side
    107,643.44x = 12,391,966,151.17
  5. Step 5: Solve for x
    x = 12,391,966,151.17/107,643.44
  6. Step 6: Final answer
    x = 115,120.50

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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.