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Finding the Fourth Proportional to 109,316.30, 163,978.50 and 38,225.04

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Solution

The fourth proportional to 109,316.30, 163,978.50 and 38,225.04 is: 57,338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,316.30 : 163,978.50 = 38,225.04 : x
  2. Step 2: Convert to fraction form
    109,316.30/163,978.50 = 38,225.04/x
  3. Step 3: Cross multiply
    109,316.30x = 163,978.50 × 38,225.04
  4. Step 4: Simplify right side
    109,316.30x = 6,268,084,721.64
  5. Step 5: Solve for x
    x = 6,268,084,721.64/109,316.30
  6. Step 6: Final answer
    x = 57,338.98

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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.