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Finding the Fourth Proportional to 189,079.40, 260,926.22 and 103,039.15

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Solution

The fourth proportional to 189,079.40, 260,926.22 and 103,039.15 is: 142,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,079.40 : 260,926.22 = 103,039.15 : x
  2. Step 2: Convert to fraction form
    189,079.40/260,926.22 = 103,039.15/x
  3. Step 3: Cross multiply
    189,079.40x = 260,926.22 × 103,039.15
  4. Step 4: Simplify right side
    189,079.40x = 26,885,614,101.69
  5. Step 5: Solve for x
    x = 26,885,614,101.69/189,079.40
  6. Step 6: Final answer
    x = 142,192.19

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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.