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Finding the Fourth Proportional to 83,019.60, 114,532.38 and 54,346.28

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Solution

The fourth proportional to 83,019.60, 114,532.38 and 54,346.28 is: 74,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,019.60 : 114,532.38 = 54,346.28 : x
  2. Step 2: Convert to fraction form
    83,019.60/114,532.38 = 54,346.28/x
  3. Step 3: Cross multiply
    83,019.60x = 114,532.38 × 54,346.28
  4. Step 4: Simplify right side
    83,019.60x = 6,224,408,219.88
  5. Step 5: Solve for x
    x = 6,224,408,219.88/83,019.60
  6. Step 6: Final answer
    x = 74,975.17

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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.