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Finding the Fourth Proportional to 189,026.68, 260,856.01 and 102,985.40

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Solution

The fourth proportional to 189,026.68, 260,856.01 and 102,985.40 is: 142,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,026.68 : 260,856.01 = 102,985.40 : x
  2. Step 2: Convert to fraction form
    189,026.68/260,856.01 = 102,985.40/x
  3. Step 3: Cross multiply
    189,026.68x = 260,856.01 × 102,985.40
  4. Step 4: Simplify right side
    189,026.68x = 26,864,358,713.05
  5. Step 5: Solve for x
    x = 26,864,358,713.05/189,026.68
  6. Step 6: Final answer
    x = 142,119.40

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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.