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Finding the Fourth Proportional to 189,159.66, 261,033.66 and 103,116.87

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Solution

The fourth proportional to 189,159.66, 261,033.66 and 103,116.87 is: 142,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,159.66 : 261,033.66 = 103,116.87 : x
  2. Step 2: Convert to fraction form
    189,159.66/261,033.66 = 103,116.87/x
  3. Step 3: Cross multiply
    189,159.66x = 261,033.66 × 103,116.87
  4. Step 4: Simplify right side
    189,159.66x = 26,916,973,983.84
  5. Step 5: Solve for x
    x = 26,916,973,983.84/189,159.66
  6. Step 6: Final answer
    x = 142,297.64

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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.