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Finding the Fourth Proportional to 106,520.40, 159,703.80 and 69,605.20

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Solution

The fourth proportional to 106,520.40, 159,703.80 and 69,605.20 is: 104,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,520.40 : 159,703.80 = 69,605.20 : x
  2. Step 2: Convert to fraction form
    106,520.40/159,703.80 = 69,605.20/x
  3. Step 3: Cross multiply
    106,520.40x = 159,703.80 × 69,605.20
  4. Step 4: Simplify right side
    106,520.40x = 11,116,214,939.76
  5. Step 5: Solve for x
    x = 11,116,214,939.76/106,520.40
  6. Step 6: Final answer
    x = 104,357.62

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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.