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Finding the Fourth Proportional to 70,460.78, 97,266.30 and 42,161

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Solution

The fourth proportional to 70,460.78, 97,266.30 and 42,161 is: 58,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,460.78 : 97,266.30 = 42,161 : x
  2. Step 2: Convert to fraction form
    70,460.78/97,266.30 = 42,161/x
  3. Step 3: Cross multiply
    70,460.78x = 97,266.30 × 42,161
  4. Step 4: Simplify right side
    70,460.78x = 4,100,844,474.30
  5. Step 5: Solve for x
    x = 4,100,844,474.30/70,460.78
  6. Step 6: Final answer
    x = 58,200.38

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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.