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Finding the Fourth Proportional to 189,666.98, 261,758.52 and 103,639.01

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Solution

The fourth proportional to 189,666.98, 261,758.52 and 103,639.01 is: 143,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,666.98 : 261,758.52 = 103,639.01 : x
  2. Step 2: Convert to fraction form
    189,666.98/261,758.52 = 103,639.01/x
  3. Step 3: Cross multiply
    189,666.98x = 261,758.52 × 103,639.01
  4. Step 4: Simplify right side
    189,666.98x = 27,128,393,871.87
  5. Step 5: Solve for x
    x = 27,128,393,871.87/189,666.98
  6. Step 6: Final answer
    x = 143,031.72

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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.