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Finding the Fourth Proportional to 138,923.16, 191,713.94 and 75,260.94

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Solution

The fourth proportional to 138,923.16, 191,713.94 and 75,260.94 is: 103,860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,923.16 : 191,713.94 = 75,260.94 : x
  2. Step 2: Convert to fraction form
    138,923.16/191,713.94 = 75,260.94/x
  3. Step 3: Cross multiply
    138,923.16x = 191,713.94 × 75,260.94
  4. Step 4: Simplify right side
    138,923.16x = 14,428,570,000.63
  5. Step 5: Solve for x
    x = 14,428,570,000.63/138,923.16
  6. Step 6: Final answer
    x = 103,860.08

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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.