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Finding the Fourth Proportional to 70,509.97, 97,302.09 and 38,678.59

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Solution

The fourth proportional to 70,509.97, 97,302.09 and 38,678.59 is: 53,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,509.97 : 97,302.09 = 38,678.59 : x
  2. Step 2: Convert to fraction form
    70,509.97/97,302.09 = 38,678.59/x
  3. Step 3: Cross multiply
    70,509.97x = 97,302.09 × 38,678.59
  4. Step 4: Simplify right side
    70,509.97x = 3,763,507,645.25
  5. Step 5: Solve for x
    x = 3,763,507,645.25/70,509.97
  6. Step 6: Final answer
    x = 53,375.54

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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.