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Finding the Fourth Proportional to 189,495, 261,498.96 and 103,451.04

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Solution

The fourth proportional to 189,495, 261,498.96 and 103,451.04 is: 142,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,495 : 261,498.96 = 103,451.04 : x
  2. Step 2: Convert to fraction form
    189,495/261,498.96 = 103,451.04/x
  3. Step 3: Cross multiply
    189,495x = 261,498.96 × 103,451.04
  4. Step 4: Simplify right side
    189,495x = 27,052,339,370.92
  5. Step 5: Solve for x
    x = 27,052,339,370.92/189,495
  6. Step 6: Final answer
    x = 142,760.18

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1.5x scale

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.