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Finding the Fourth Proportional to 70,409, 97,164.48 and 38,578.04

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Solution

The fourth proportional to 70,409, 97,164.48 and 38,578.04 is: 53,237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,409 : 97,164.48 = 38,578.04 : x
  2. Step 2: Convert to fraction form
    70,409/97,164.48 = 38,578.04/x
  3. Step 3: Cross multiply
    70,409x = 97,164.48 × 38,578.04
  4. Step 4: Simplify right side
    70,409x = 3,748,415,196.02
  5. Step 5: Solve for x
    x = 3,748,415,196.02/70,409
  6. Step 6: Final answer
    x = 53,237.73

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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.