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Finding the Fourth Proportional to 159,275.76, 219,815.28 and 87,670.32

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Solution

The fourth proportional to 159,275.76, 219,815.28 and 87,670.32 is: 120,993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,275.76 : 219,815.28 = 87,670.32 : x
  2. Step 2: Convert to fraction form
    159,275.76/219,815.28 = 87,670.32/x
  3. Step 3: Cross multiply
    159,275.76x = 219,815.28 × 87,670.32
  4. Step 4: Simplify right side
    159,275.76x = 19,271,275,938.49
  5. Step 5: Solve for x
    x = 19,271,275,938.49/159,275.76
  6. Step 6: Final answer
    x = 120,993.15

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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.