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Finding the Fourth Proportional to 77,048.32, 115,576.80 and 21,640

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Solution

The fourth proportional to 77,048.32, 115,576.80 and 21,640 is: 32,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,048.32 : 115,576.80 = 21,640 : x
  2. Step 2: Convert to fraction form
    77,048.32/115,576.80 = 21,640/x
  3. Step 3: Cross multiply
    77,048.32x = 115,576.80 × 21,640
  4. Step 4: Simplify right side
    77,048.32x = 2,501,081,952
  5. Step 5: Solve for x
    x = 2,501,081,952/77,048.32
  6. Step 6: Final answer
    x = 32,461.21

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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.