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Finding the Fourth Proportional to 129,157.48, 178,239.47 and 71,016.67

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Solution

The fourth proportional to 129,157.48, 178,239.47 and 71,016.67 is: 98,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,157.48 : 178,239.47 = 71,016.67 : x
  2. Step 2: Convert to fraction form
    129,157.48/178,239.47 = 71,016.67/x
  3. Step 3: Cross multiply
    129,157.48x = 178,239.47 × 71,016.67
  4. Step 4: Simplify right side
    129,157.48x = 12,657,973,621.96
  5. Step 5: Solve for x
    x = 12,657,973,621.96/129,157.48
  6. Step 6: Final answer
    x = 98,004.19

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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.