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Finding the Fourth Proportional to 121,964.40, 183,061.80 and 75,308.40

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Solution

The fourth proportional to 121,964.40, 183,061.80 and 75,308.40 is: 113,033.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,964.40 : 183,061.80 = 75,308.40 : x
  2. Step 2: Convert to fraction form
    121,964.40/183,061.80 = 75,308.40/x
  3. Step 3: Cross multiply
    121,964.40x = 183,061.80 × 75,308.40
  4. Step 4: Simplify right side
    121,964.40x = 13,786,091,259.12
  5. Step 5: Solve for x
    x = 13,786,091,259.12/121,964.40
  6. Step 6: Final answer
    x = 113,033.73

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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.