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Finding the Fourth Proportional to 76,424.90, 114,637.35 and 21,020.90

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Solution

The fourth proportional to 76,424.90, 114,637.35 and 21,020.90 is: 31,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,424.90 : 114,637.35 = 21,020.90 : x
  2. Step 2: Convert to fraction form
    76,424.90/114,637.35 = 21,020.90/x
  3. Step 3: Cross multiply
    76,424.90x = 114,637.35 × 21,020.90
  4. Step 4: Simplify right side
    76,424.90x = 2,409,780,270.62
  5. Step 5: Solve for x
    x = 2,409,780,270.62/76,424.90
  6. Step 6: Final answer
    x = 31,531.35

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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.