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Finding the Fourth Proportional to 127,978.65, 176,609.34 and 70,618.50

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Solution

The fourth proportional to 127,978.65, 176,609.34 and 70,618.50 is: 97,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,978.65 : 176,609.34 = 70,618.50 : x
  2. Step 2: Convert to fraction form
    127,978.65/176,609.34 = 70,618.50/x
  3. Step 3: Cross multiply
    127,978.65x = 176,609.34 × 70,618.50
  4. Step 4: Simplify right side
    127,978.65x = 12,471,886,676.79
  5. Step 5: Solve for x
    x = 12,471,886,676.79/127,978.65
  6. Step 6: Final answer
    x = 97,452.87

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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.