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Finding the Fourth Proportional to 141,966, 212,985 and 53,219.76

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Solution

The fourth proportional to 141,966, 212,985 and 53,219.76 is: 79,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,966 : 212,985 = 53,219.76 : x
  2. Step 2: Convert to fraction form
    141,966/212,985 = 53,219.76/x
  3. Step 3: Cross multiply
    141,966x = 212,985 × 53,219.76
  4. Step 4: Simplify right side
    141,966x = 11,335,010,583.60
  5. Step 5: Solve for x
    x = 11,335,010,583.60/141,966
  6. Step 6: Final answer
    x = 79,843.14

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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.