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Finding the Fourth Proportional to 67,781.58, 101,666.70 and 21,030

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Solution

The fourth proportional to 67,781.58, 101,666.70 and 21,030 is: 31,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,781.58 : 101,666.70 = 21,030 : x
  2. Step 2: Convert to fraction form
    67,781.58/101,666.70 = 21,030/x
  3. Step 3: Cross multiply
    67,781.58x = 101,666.70 × 21,030
  4. Step 4: Simplify right side
    67,781.58x = 2,138,050,701
  5. Step 5: Solve for x
    x = 2,138,050,701/67,781.58
  6. Step 6: Final answer
    x = 31,543.24

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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.