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Finding the Fourth Proportional to 158,993.80, 219,432.18 and 102,569.32

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Solution

The fourth proportional to 158,993.80, 219,432.18 and 102,569.32 is: 141,559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,993.80 : 219,432.18 = 102,569.32 : x
  2. Step 2: Convert to fraction form
    158,993.80/219,432.18 = 102,569.32/x
  3. Step 3: Cross multiply
    158,993.80x = 219,432.18 × 102,569.32
  4. Step 4: Simplify right side
    158,993.80x = 22,507,009,488.72
  5. Step 5: Solve for x
    x = 22,507,009,488.72/158,993.80
  6. Step 6: Final answer
    x = 141,559.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.