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Finding the Fourth Proportional to 61,435, 92,167.64 and 19,882

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Solution

The fourth proportional to 61,435, 92,167.64 and 19,882 is: 29,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,435 : 92,167.64 = 19,882 : x
  2. Step 2: Convert to fraction form
    61,435/92,167.64 = 19,882/x
  3. Step 3: Cross multiply
    61,435x = 92,167.64 × 19,882
  4. Step 4: Simplify right side
    61,435x = 1,832,477,018.48
  5. Step 5: Solve for x
    x = 1,832,477,018.48/61,435
  6. Step 6: Final answer
    x = 29,827.90

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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.