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Finding the Fourth Proportional to 83,693.51, 115,468.93 and 47,390.01

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Solution

The fourth proportional to 83,693.51, 115,468.93 and 47,390.01 is: 65,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,693.51 : 115,468.93 = 47,390.01 : x
  2. Step 2: Convert to fraction form
    83,693.51/115,468.93 = 47,390.01/x
  3. Step 3: Cross multiply
    83,693.51x = 115,468.93 × 47,390.01
  4. Step 4: Simplify right side
    83,693.51x = 5,472,073,747.39
  5. Step 5: Solve for x
    x = 5,472,073,747.39/83,693.51
  6. Step 6: Final answer
    x = 65,382.29

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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.