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Finding the Fourth Proportional to 212,306.31, 318,459.47 and 54,534.92

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Solution

The fourth proportional to 212,306.31, 318,459.47 and 54,534.92 is: 81,802.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,306.31 : 318,459.47 = 54,534.92 : x
  2. Step 2: Convert to fraction form
    212,306.31/318,459.47 = 54,534.92/x
  3. Step 3: Cross multiply
    212,306.31x = 318,459.47 × 54,534.92
  4. Step 4: Simplify right side
    212,306.31x = 17,367,159,854.72
  5. Step 5: Solve for x
    x = 17,367,159,854.72/212,306.31
  6. Step 6: Final answer
    x = 81,802.37

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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.