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Finding the Fourth Proportional to 103,069.83, 155,306.84 and 84,759.98

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Solution

The fourth proportional to 103,069.83, 155,306.84 and 84,759.98 is: 127,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,069.83 : 155,306.84 = 84,759.98 : x
  2. Step 2: Convert to fraction form
    103,069.83/155,306.84 = 84,759.98/x
  3. Step 3: Cross multiply
    103,069.83x = 155,306.84 × 84,759.98
  4. Step 4: Simplify right side
    103,069.83x = 13,163,803,451.93
  5. Step 5: Solve for x
    x = 13,163,803,451.93/103,069.83
  6. Step 6: Final answer
    x = 127,717.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.