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Finding the Fourth Proportional to 189,002.56, 260,813.84 and 104,117.76

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Solution

The fourth proportional to 189,002.56, 260,813.84 and 104,117.76 is: 143,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,002.56 : 260,813.84 = 104,117.76 : x
  2. Step 2: Convert to fraction form
    189,002.56/260,813.84 = 104,117.76/x
  3. Step 3: Cross multiply
    189,002.56x = 260,813.84 × 104,117.76
  4. Step 4: Simplify right side
    189,002.56x = 27,155,352,797.80
  5. Step 5: Solve for x
    x = 27,155,352,797.80/189,002.56
  6. Step 6: Final answer
    x = 143,677.17

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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.