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Finding the Fourth Proportional to 81,698.40, 122,551.20 and 46,159.20

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Solution

The fourth proportional to 81,698.40, 122,551.20 and 46,159.20 is: 69,240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,698.40 : 122,551.20 = 46,159.20 : x
  2. Step 2: Convert to fraction form
    81,698.40/122,551.20 = 46,159.20/x
  3. Step 3: Cross multiply
    81,698.40x = 122,551.20 × 46,159.20
  4. Step 4: Simplify right side
    81,698.40x = 5,656,865,351.04
  5. Step 5: Solve for x
    x = 5,656,865,351.04/81,698.40
  6. Step 6: Final answer
    x = 69,240.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.