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Finding the Fourth Proportional to 102,645.94, 141,610.46 and 66,822.88

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Solution

The fourth proportional to 102,645.94, 141,610.46 and 66,822.88 is: 92,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,645.94 : 141,610.46 = 66,822.88 : x
  2. Step 2: Convert to fraction form
    102,645.94/141,610.46 = 66,822.88/x
  3. Step 3: Cross multiply
    102,645.94x = 141,610.46 × 66,822.88
  4. Step 4: Simplify right side
    102,645.94x = 9,462,818,775.32
  5. Step 5: Solve for x
    x = 9,462,818,775.32/102,645.94
  6. Step 6: Final answer
    x = 92,188.92

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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.