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Finding the Fourth Proportional to 97,820.75, 134,991.92 and 55,378.91

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Solution

The fourth proportional to 97,820.75, 134,991.92 and 55,378.91 is: 76,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,820.75 : 134,991.92 = 55,378.91 : x
  2. Step 2: Convert to fraction form
    97,820.75/134,991.92 = 55,378.91/x
  3. Step 3: Cross multiply
    97,820.75x = 134,991.92 × 55,378.91
  4. Step 4: Simplify right side
    97,820.75x = 7,475,704,436.55
  5. Step 5: Solve for x
    x = 7,475,704,436.55/97,820.75
  6. Step 6: Final answer
    x = 76,422.49

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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.