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Finding the Fourth Proportional to 189,054.96, 260,894.76 and 103,013.88

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Solution

The fourth proportional to 189,054.96, 260,894.76 and 103,013.88 is: 142,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,054.96 : 260,894.76 = 103,013.88 : x
  2. Step 2: Convert to fraction form
    189,054.96/260,894.76 = 103,013.88/x
  3. Step 3: Cross multiply
    189,054.96x = 260,894.76 × 103,013.88
  4. Step 4: Simplify right side
    189,054.96x = 26,875,781,499.27
  5. Step 5: Solve for x
    x = 26,875,781,499.27/189,054.96
  6. Step 6: Final answer
    x = 142,158.56

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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.