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Finding the Fourth Proportional to 189,665.84, 261,756.96 and 103,637.90

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Solution

The fourth proportional to 189,665.84, 261,756.96 and 103,637.90 is: 143,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,665.84 : 261,756.96 = 103,637.90 : x
  2. Step 2: Convert to fraction form
    189,665.84/261,756.96 = 103,637.90/x
  3. Step 3: Cross multiply
    189,665.84x = 261,756.96 × 103,637.90
  4. Step 4: Simplify right side
    189,665.84x = 27,127,941,644.78
  5. Step 5: Solve for x
    x = 27,127,941,644.78/189,665.84
  6. Step 6: Final answer
    x = 143,030.19

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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.