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Finding the Fourth Proportional to 70,981.92, 97,955.40 and 39,150.78

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Solution

The fourth proportional to 70,981.92, 97,955.40 and 39,150.78 is: 54,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,981.92 : 97,955.40 = 39,150.78 : x
  2. Step 2: Convert to fraction form
    70,981.92/97,955.40 = 39,150.78/x
  3. Step 3: Cross multiply
    70,981.92x = 97,955.40 × 39,150.78
  4. Step 4: Simplify right side
    70,981.92x = 3,835,030,315.21
  5. Step 5: Solve for x
    x = 3,835,030,315.21/70,981.92
  6. Step 6: Final answer
    x = 54,028.27

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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.