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Finding the Fourth Proportional to 52,698.78, 79,048.17 and 21,534

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Solution

The fourth proportional to 52,698.78, 79,048.17 and 21,534 is: 32,301

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,698.78 : 79,048.17 = 21,534 : x
  2. Step 2: Convert to fraction form
    52,698.78/79,048.17 = 21,534/x
  3. Step 3: Cross multiply
    52,698.78x = 79,048.17 × 21,534
  4. Step 4: Simplify right side
    52,698.78x = 1,702,223,292.78
  5. Step 5: Solve for x
    x = 1,702,223,292.78/52,698.78
  6. Step 6: Final answer
    x = 32,301

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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.