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Finding the Fourth Proportional to 30,159, 45,238.50 and 10,432.26

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Solution

The fourth proportional to 30,159, 45,238.50 and 10,432.26 is: 15,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,159 : 45,238.50 = 10,432.26 : x
  2. Step 2: Convert to fraction form
    30,159/45,238.50 = 10,432.26/x
  3. Step 3: Cross multiply
    30,159x = 45,238.50 × 10,432.26
  4. Step 4: Simplify right side
    30,159x = 471,939,794.01
  5. Step 5: Solve for x
    x = 471,939,794.01/30,159
  6. Step 6: Final answer
    x = 15,648.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.