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Finding the Fourth Proportional to 109,238.61, 163,866.84 and 30,352.86

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Solution

The fourth proportional to 109,238.61, 163,866.84 and 30,352.86 is: 45,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,238.61 : 163,866.84 = 30,352.86 : x
  2. Step 2: Convert to fraction form
    109,238.61/163,866.84 = 30,352.86/x
  3. Step 3: Cross multiply
    109,238.61x = 163,866.84 × 30,352.86
  4. Step 4: Simplify right side
    109,238.61x = 4,973,827,253.16
  5. Step 5: Solve for x
    x = 4,973,827,253.16/109,238.61
  6. Step 6: Final answer
    x = 45,531.77

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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.