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Finding the Fourth Proportional to 121,141.60, 181,690.80 and 76,688.80

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Solution

The fourth proportional to 121,141.60, 181,690.80 and 76,688.80 is: 115,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,141.60 : 181,690.80 = 76,688.80 : x
  2. Step 2: Convert to fraction form
    121,141.60/181,690.80 = 76,688.80/x
  3. Step 3: Cross multiply
    121,141.60x = 181,690.80 × 76,688.80
  4. Step 4: Simplify right side
    121,141.60x = 13,933,649,423.04
  5. Step 5: Solve for x
    x = 13,933,649,423.04/121,141.60
  6. Step 6: Final answer
    x = 115,019.53

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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.