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Finding the Fourth Proportional to 189,071.96, 260,915.95 and 103,031.70

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Solution

The fourth proportional to 189,071.96, 260,915.95 and 103,031.70 is: 142,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,071.96 : 260,915.95 = 103,031.70 : x
  2. Step 2: Convert to fraction form
    189,071.96/260,915.95 = 103,031.70/x
  3. Step 3: Cross multiply
    189,071.96x = 260,915.95 × 103,031.70
  4. Step 4: Simplify right side
    189,071.96x = 26,882,613,035.97
  5. Step 5: Solve for x
    x = 26,882,613,035.97/189,071.96
  6. Step 6: Final answer
    x = 142,181.92

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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.