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Finding the Fourth Proportional to 70,400.34, 97,164.90 and 42,105.96

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Solution

The fourth proportional to 70,400.34, 97,164.90 and 42,105.96 is: 58,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,400.34 : 97,164.90 = 42,105.96 : x
  2. Step 2: Convert to fraction form
    70,400.34/97,164.90 = 42,105.96/x
  3. Step 3: Cross multiply
    70,400.34x = 97,164.90 × 42,105.96
  4. Step 4: Simplify right side
    70,400.34x = 4,091,221,392.80
  5. Step 5: Solve for x
    x = 4,091,221,392.80/70,400.34
  6. Step 6: Final answer
    x = 58,113.66

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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.