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Finding the Fourth Proportional to 81,020, 121,592.64 and 56,234

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Solution

The fourth proportional to 81,020, 121,592.64 and 56,234 is: 84,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,020 : 121,592.64 = 56,234 : x
  2. Step 2: Convert to fraction form
    81,020/121,592.64 = 56,234/x
  3. Step 3: Cross multiply
    81,020x = 121,592.64 × 56,234
  4. Step 4: Simplify right side
    81,020x = 6,837,640,517.76
  5. Step 5: Solve for x
    x = 6,837,640,517.76/81,020
  6. Step 6: Final answer
    x = 84,394.48

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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.