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Finding the Fourth Proportional to 109,203.96, 163,809.18 and 30,324

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Solution

The fourth proportional to 109,203.96, 163,809.18 and 30,324 is: 45,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,203.96 : 163,809.18 = 30,324 : x
  2. Step 2: Convert to fraction form
    109,203.96/163,809.18 = 30,324/x
  3. Step 3: Cross multiply
    109,203.96x = 163,809.18 × 30,324
  4. Step 4: Simplify right side
    109,203.96x = 4,967,349,574.32
  5. Step 5: Solve for x
    x = 4,967,349,574.32/109,203.96
  6. Step 6: Final answer
    x = 45,486.90

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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.