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Finding the Fourth Proportional to 83,655.84, 115,437.87 and 47,840.07

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Solution

The fourth proportional to 83,655.84, 115,437.87 and 47,840.07 is: 66,015.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,655.84 : 115,437.87 = 47,840.07 : x
  2. Step 2: Convert to fraction form
    83,655.84/115,437.87 = 47,840.07/x
  3. Step 3: Cross multiply
    83,655.84x = 115,437.87 × 47,840.07
  4. Step 4: Simplify right side
    83,655.84x = 5,522,555,781.45
  5. Step 5: Solve for x
    x = 5,522,555,781.45/83,655.84
  6. Step 6: Final answer
    x = 66,015.19

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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.