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Finding the Fourth Proportional to 125,834.64, 188,751.75 and 86,271.81

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Solution

The fourth proportional to 125,834.64, 188,751.75 and 86,271.81 is: 129,407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,834.64 : 188,751.75 = 86,271.81 : x
  2. Step 2: Convert to fraction form
    125,834.64/188,751.75 = 86,271.81/x
  3. Step 3: Cross multiply
    125,834.64x = 188,751.75 × 86,271.81
  4. Step 4: Simplify right side
    125,834.64x = 16,283,955,113.17
  5. Step 5: Solve for x
    x = 16,283,955,113.17/125,834.64
  6. Step 6: Final answer
    x = 129,407.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.