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Finding the Fourth Proportional to 185,304.51, 255,720.44 and 100,421.57

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Solution

The fourth proportional to 185,304.51, 255,720.44 and 100,421.57 is: 138,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,304.51 : 255,720.44 = 100,421.57 : x
  2. Step 2: Convert to fraction form
    185,304.51/255,720.44 = 100,421.57/x
  3. Step 3: Cross multiply
    185,304.51x = 255,720.44 × 100,421.57
  4. Step 4: Simplify right side
    185,304.51x = 25,679,848,956.25
  5. Step 5: Solve for x
    x = 25,679,848,956.25/185,304.51
  6. Step 6: Final answer
    x = 138,581.89

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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.