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Finding the Fourth Proportional to 195,140, 269,294.28 and 105,716

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Solution

The fourth proportional to 195,140, 269,294.28 and 105,716 is: 145,888.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,140 : 269,294.28 = 105,716 : x
  2. Step 2: Convert to fraction form
    195,140/269,294.28 = 105,716/x
  3. Step 3: Cross multiply
    195,140x = 269,294.28 × 105,716
  4. Step 4: Simplify right side
    195,140x = 28,468,714,104.48
  5. Step 5: Solve for x
    x = 28,468,714,104.48/195,140
  6. Step 6: Final answer
    x = 145,888.67

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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.