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Finding the Fourth Proportional to 189,102.38, 260,956.79 and 103,064.08

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Solution

The fourth proportional to 189,102.38, 260,956.79 and 103,064.08 is: 142,225.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,102.38 : 260,956.79 = 103,064.08 : x
  2. Step 2: Convert to fraction form
    189,102.38/260,956.79 = 103,064.08/x
  3. Step 3: Cross multiply
    189,102.38x = 260,956.79 × 103,064.08
  4. Step 4: Simplify right side
    189,102.38x = 26,895,272,064.96
  5. Step 5: Solve for x
    x = 26,895,272,064.96/189,102.38
  6. Step 6: Final answer
    x = 142,225.98

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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.