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Finding the Fourth Proportional to 108,769, 163,153.50 and 38,651.08

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Solution

The fourth proportional to 108,769, 163,153.50 and 38,651.08 is: 57,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,769 : 163,153.50 = 38,651.08 : x
  2. Step 2: Convert to fraction form
    108,769/163,153.50 = 38,651.08/x
  3. Step 3: Cross multiply
    108,769x = 163,153.50 × 38,651.08
  4. Step 4: Simplify right side
    108,769x = 6,306,058,980.78
  5. Step 5: Solve for x
    x = 6,306,058,980.78/108,769
  6. Step 6: Final answer
    x = 57,976.62

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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.