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Finding the Fourth Proportional to 92,646.34, 138,948.54 and 55,217.05

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Solution

The fourth proportional to 92,646.34, 138,948.54 and 55,217.05 is: 82,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,646.34 : 138,948.54 = 55,217.05 : x
  2. Step 2: Convert to fraction form
    92,646.34/138,948.54 = 55,217.05/x
  3. Step 3: Cross multiply
    92,646.34x = 138,948.54 × 55,217.05
  4. Step 4: Simplify right side
    92,646.34x = 7,672,328,480.61
  5. Step 5: Solve for x
    x = 7,672,328,480.61/92,646.34
  6. Step 6: Final answer
    x = 82,813.08

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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.