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Finding the Fourth Proportional to 83,811.84, 115,643.78 and 47,019.28

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Solution

The fourth proportional to 83,811.84, 115,643.78 and 47,019.28 is: 64,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,811.84 : 115,643.78 = 47,019.28 : x
  2. Step 2: Convert to fraction form
    83,811.84/115,643.78 = 47,019.28/x
  3. Step 3: Cross multiply
    83,811.84x = 115,643.78 × 47,019.28
  4. Step 4: Simplify right side
    83,811.84x = 5,437,487,272.08
  5. Step 5: Solve for x
    x = 5,437,487,272.08/83,811.84
  6. Step 6: Final answer
    x = 64,877.32

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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.