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Finding the Fourth Proportional to 70,978.52, 97,948.44 and 39,145.28

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Solution

The fourth proportional to 70,978.52, 97,948.44 and 39,145.28 is: 54,019.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,978.52 : 97,948.44 = 39,145.28 : x
  2. Step 2: Convert to fraction form
    70,978.52/97,948.44 = 39,145.28/x
  3. Step 3: Cross multiply
    70,978.52x = 97,948.44 × 39,145.28
  4. Step 4: Simplify right side
    70,978.52x = 3,834,219,109.36
  5. Step 5: Solve for x
    x = 3,834,219,109.36/70,978.52
  6. Step 6: Final answer
    x = 54,019.43

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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.