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Finding the Fourth Proportional to 109,290.69, 163,967.36 and 39,174.93

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Solution

The fourth proportional to 109,290.69, 163,967.36 and 39,174.93 is: 58,773.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,290.69 : 163,967.36 = 39,174.93 : x
  2. Step 2: Convert to fraction form
    109,290.69/163,967.36 = 39,174.93/x
  3. Step 3: Cross multiply
    109,290.69x = 163,967.36 × 39,174.93
  4. Step 4: Simplify right side
    109,290.69x = 6,423,409,654.41
  5. Step 5: Solve for x
    x = 6,423,409,654.41/109,290.69
  6. Step 6: Final answer
    x = 58,773.62

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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.