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Finding the Fourth Proportional to 117,647.64, 162,378.81 and 72,363.78

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Solution

The fourth proportional to 117,647.64, 162,378.81 and 72,363.78 is: 99,877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,647.64 : 162,378.81 = 72,363.78 : x
  2. Step 2: Convert to fraction form
    117,647.64/162,378.81 = 72,363.78/x
  3. Step 3: Cross multiply
    117,647.64x = 162,378.81 × 72,363.78
  4. Step 4: Simplify right side
    117,647.64x = 11,750,344,483.50
  5. Step 5: Solve for x
    x = 11,750,344,483.50/117,647.64
  6. Step 6: Final answer
    x = 99,877.43

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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.