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Finding the Fourth Proportional to 189,302.51, 261,239.13 and 103,261.88

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Solution

The fourth proportional to 189,302.51, 261,239.13 and 103,261.88 is: 142,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,302.51 : 261,239.13 = 103,261.88 : x
  2. Step 2: Convert to fraction form
    189,302.51/261,239.13 = 103,261.88/x
  3. Step 3: Cross multiply
    189,302.51x = 261,239.13 × 103,261.88
  4. Step 4: Simplify right side
    189,302.51x = 26,976,042,387.17
  5. Step 5: Solve for x
    x = 26,976,042,387.17/189,302.51
  6. Step 6: Final answer
    x = 142,502.30

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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.