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Finding the Fourth Proportional to 141,965, 212,983.50 and 53,218.76

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Solution

The fourth proportional to 141,965, 212,983.50 and 53,218.76 is: 79,841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,965 : 212,983.50 = 53,218.76 : x
  2. Step 2: Convert to fraction form
    141,965/212,983.50 = 53,218.76/x
  3. Step 3: Cross multiply
    141,965x = 212,983.50 × 53,218.76
  4. Step 4: Simplify right side
    141,965x = 11,334,717,770.46
  5. Step 5: Solve for x
    x = 11,334,717,770.46/141,965
  6. Step 6: Final answer
    x = 79,841.64

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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.