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Finding the Fourth Proportional to 159,423.72, 238,971.56 and 70,719

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Solution

The fourth proportional to 159,423.72, 238,971.56 and 70,719 is: 106,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,423.72 : 238,971.56 = 70,719 : x
  2. Step 2: Convert to fraction form
    159,423.72/238,971.56 = 70,719/x
  3. Step 3: Cross multiply
    159,423.72x = 238,971.56 × 70,719
  4. Step 4: Simplify right side
    159,423.72x = 16,899,829,398.05
  5. Step 5: Solve for x
    x = 16,899,829,398.05/159,423.72
  6. Step 6: Final answer
    x = 106,005.74

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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.