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Finding the Fourth Proportional to 212,854.47, 319,189.17 and 61,018.11

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Solution

The fourth proportional to 212,854.47, 319,189.17 and 61,018.11 is: 91,500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,854.47 : 319,189.17 = 61,018.11 : x
  2. Step 2: Convert to fraction form
    212,854.47/319,189.17 = 61,018.11/x
  3. Step 3: Cross multiply
    212,854.47x = 319,189.17 × 61,018.11
  4. Step 4: Simplify right side
    212,854.47x = 19,476,319,885.87
  5. Step 5: Solve for x
    x = 19,476,319,885.87/212,854.47
  6. Step 6: Final answer
    x = 91,500.64

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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.