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Finding the Fourth Proportional to 77,019.20, 115,528.80 and 21,615.20

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Solution

The fourth proportional to 77,019.20, 115,528.80 and 21,615.20 is: 32,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,019.20 : 115,528.80 = 21,615.20 : x
  2. Step 2: Convert to fraction form
    77,019.20/115,528.80 = 21,615.20/x
  3. Step 3: Cross multiply
    77,019.20x = 115,528.80 × 21,615.20
  4. Step 4: Simplify right side
    77,019.20x = 2,497,178,117.76
  5. Step 5: Solve for x
    x = 2,497,178,117.76/77,019.20
  6. Step 6: Final answer
    x = 32,422.80

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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.