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Finding the Fourth Proportional to 70,509.72, 97,301.75 and 38,678.34

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Solution

The fourth proportional to 70,509.72, 97,301.75 and 38,678.34 is: 53,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,509.72 : 97,301.75 = 38,678.34 : x
  2. Step 2: Convert to fraction form
    70,509.72/97,301.75 = 38,678.34/x
  3. Step 3: Cross multiply
    70,509.72x = 97,301.75 × 38,678.34
  4. Step 4: Simplify right side
    70,509.72x = 3,763,469,975.70
  5. Step 5: Solve for x
    x = 3,763,469,975.70/70,509.72
  6. Step 6: Final answer
    x = 53,375.19

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1.5x scale

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.