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Finding the Fourth Proportional to 70,408.32, 97,164.47 and 42,108.54

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Solution

The fourth proportional to 70,408.32, 97,164.47 and 42,108.54 is: 58,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,408.32 : 97,164.47 = 42,108.54 : x
  2. Step 2: Convert to fraction form
    70,408.32/97,164.47 = 42,108.54/x
  3. Step 3: Cross multiply
    70,408.32x = 97,164.47 × 42,108.54
  4. Step 4: Simplify right side
    70,408.32x = 4,091,453,971.57
  5. Step 5: Solve for x
    x = 4,091,453,971.57/70,408.32
  6. Step 6: Final answer
    x = 58,110.38

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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.