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Finding the Fourth Proportional to 81,875.84, 122,813.80 and 22,726.40

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Solution

The fourth proportional to 81,875.84, 122,813.80 and 22,726.40 is: 34,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,875.84 : 122,813.80 = 22,726.40 : x
  2. Step 2: Convert to fraction form
    81,875.84/122,813.80 = 22,726.40/x
  3. Step 3: Cross multiply
    81,875.84x = 122,813.80 × 22,726.40
  4. Step 4: Simplify right side
    81,875.84x = 2,791,115,544.32
  5. Step 5: Solve for x
    x = 2,791,115,544.32/81,875.84
  6. Step 6: Final answer
    x = 34,089.61

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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.