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Finding the Fourth Proportional to 103,443.52, 155,211.36 and 54,184

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Solution

The fourth proportional to 103,443.52, 155,211.36 and 54,184 is: 81,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,443.52 : 155,211.36 = 54,184 : x
  2. Step 2: Convert to fraction form
    103,443.52/155,211.36 = 54,184/x
  3. Step 3: Cross multiply
    103,443.52x = 155,211.36 × 54,184
  4. Step 4: Simplify right side
    103,443.52x = 8,409,972,330.24
  5. Step 5: Solve for x
    x = 8,409,972,330.24/103,443.52
  6. Step 6: Final answer
    x = 81,300.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.