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Finding the Fourth Proportional to 97,797.99, 134,951.90 and 77,703.51

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Solution

The fourth proportional to 97,797.99, 134,951.90 and 77,703.51 is: 107,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,797.99 : 134,951.90 = 77,703.51 : x
  2. Step 2: Convert to fraction form
    97,797.99/134,951.90 = 77,703.51/x
  3. Step 3: Cross multiply
    97,797.99x = 134,951.90 × 77,703.51
  4. Step 4: Simplify right side
    97,797.99x = 10,486,235,922.65
  5. Step 5: Solve for x
    x = 10,486,235,922.65/97,797.99
  6. Step 6: Final answer
    x = 107,223.43

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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.