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Finding the Fourth Proportional to 81,666.89, 122,468.71 and 31,740.45

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Solution

The fourth proportional to 81,666.89, 122,468.71 and 31,740.45 is: 47,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,666.89 : 122,468.71 = 31,740.45 : x
  2. Step 2: Convert to fraction form
    81,666.89/122,468.71 = 31,740.45/x
  3. Step 3: Cross multiply
    81,666.89x = 122,468.71 × 31,740.45
  4. Step 4: Simplify right side
    81,666.89x = 3,887,211,966.32
  5. Step 5: Solve for x
    x = 3,887,211,966.32/81,666.89
  6. Step 6: Final answer
    x = 47,598.38

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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.