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Finding the Fourth Proportional to 109,034.98, 163,536.05 and 69,865.81

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Solution

The fourth proportional to 109,034.98, 163,536.05 and 69,865.81 is: 104,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,034.98 : 163,536.05 = 69,865.81 : x
  2. Step 2: Convert to fraction form
    109,034.98/163,536.05 = 69,865.81/x
  3. Step 3: Cross multiply
    109,034.98x = 163,536.05 × 69,865.81
  4. Step 4: Simplify right side
    109,034.98x = 11,425,577,430.44
  5. Step 5: Solve for x
    x = 11,425,577,430.44/109,034.98
  6. Step 6: Final answer
    x = 104,788.19

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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.