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Finding the Fourth Proportional to 70,017.78, 96,642 and 41,718

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Solution

The fourth proportional to 70,017.78, 96,642 and 41,718 is: 57,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,017.78 : 96,642 = 41,718 : x
  2. Step 2: Convert to fraction form
    70,017.78/96,642 = 41,718/x
  3. Step 3: Cross multiply
    70,017.78x = 96,642 × 41,718
  4. Step 4: Simplify right side
    70,017.78x = 4,031,710,956
  5. Step 5: Solve for x
    x = 4,031,710,956/70,017.78
  6. Step 6: Final answer
    x = 57,581.25

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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.