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Finding the Fourth Proportional to 154,683.68, 231,566.04 and 84,349.76

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Solution

The fourth proportional to 154,683.68, 231,566.04 and 84,349.76 is: 126,274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,683.68 : 231,566.04 = 84,349.76 : x
  2. Step 2: Convert to fraction form
    154,683.68/231,566.04 = 84,349.76/x
  3. Step 3: Cross multiply
    154,683.68x = 231,566.04 × 84,349.76
  4. Step 4: Simplify right side
    154,683.68x = 19,532,538,740.32
  5. Step 5: Solve for x
    x = 19,532,538,740.32/154,683.68
  6. Step 6: Final answer
    x = 126,274.08

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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.