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Finding the Fourth Proportional to 159,427.20, 239,054.40 and 65,827.20

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Solution

The fourth proportional to 159,427.20, 239,054.40 and 65,827.20 is: 98,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,427.20 : 239,054.40 = 65,827.20 : x
  2. Step 2: Convert to fraction form
    159,427.20/239,054.40 = 65,827.20/x
  3. Step 3: Cross multiply
    159,427.20x = 239,054.40 × 65,827.20
  4. Step 4: Simplify right side
    159,427.20x = 15,736,281,799.68
  5. Step 5: Solve for x
    x = 15,736,281,799.68/159,427.20
  6. Step 6: Final answer
    x = 98,705.13

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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.