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Finding the Fourth Proportional to 276,026.30, 414,038.96 and 86,501.20

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Solution

The fourth proportional to 276,026.30, 414,038.96 and 86,501.20 is: 129,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,026.30 : 414,038.96 = 86,501.20 : x
  2. Step 2: Convert to fraction form
    276,026.30/414,038.96 = 86,501.20/x
  3. Step 3: Cross multiply
    276,026.30x = 414,038.96 × 86,501.20
  4. Step 4: Simplify right side
    276,026.30x = 35,814,866,886.75
  5. Step 5: Solve for x
    x = 35,814,866,886.75/276,026.30
  6. Step 6: Final answer
    x = 129,751.65

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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.