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Finding the Fourth Proportional to 83,395.95, 115,077.81 and 47,579.06

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Solution

The fourth proportional to 83,395.95, 115,077.81 and 47,579.06 is: 65,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,395.95 : 115,077.81 = 47,579.06 : x
  2. Step 2: Convert to fraction form
    83,395.95/115,077.81 = 47,579.06/x
  3. Step 3: Cross multiply
    83,395.95x = 115,077.81 × 47,579.06
  4. Step 4: Simplify right side
    83,395.95x = 5,475,294,492.77
  5. Step 5: Solve for x
    x = 5,475,294,492.77/83,395.95
  6. Step 6: Final answer
    x = 65,654.20

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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.