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Finding the Fourth Proportional to 70,498.48, 97,288 and 38,667.60

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Solution

The fourth proportional to 70,498.48, 97,288 and 38,667.60 is: 53,361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,498.48 : 97,288 = 38,667.60 : x
  2. Step 2: Convert to fraction form
    70,498.48/97,288 = 38,667.60/x
  3. Step 3: Cross multiply
    70,498.48x = 97,288 × 38,667.60
  4. Step 4: Simplify right side
    70,498.48x = 3,761,893,468.80
  5. Step 5: Solve for x
    x = 3,761,893,468.80/70,498.48
  6. Step 6: Final answer
    x = 53,361.34

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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.