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Finding the Fourth Proportional to 57,476, 86,214.02 and 18,036.20

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Solution

The fourth proportional to 57,476, 86,214.02 and 18,036.20 is: 27,054.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,476 : 86,214.02 = 18,036.20 : x
  2. Step 2: Convert to fraction form
    57,476/86,214.02 = 18,036.20/x
  3. Step 3: Cross multiply
    57,476x = 86,214.02 × 18,036.20
  4. Step 4: Simplify right side
    57,476x = 1,554,973,307.52
  5. Step 5: Solve for x
    x = 1,554,973,307.52/57,476
  6. Step 6: Final answer
    x = 27,054.31

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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.