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Finding the Fourth Proportional to 121,677.78, 182,563.41 and 85,688.77

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Solution

The fourth proportional to 121,677.78, 182,563.41 and 85,688.77 is: 128,566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,677.78 : 182,563.41 = 85,688.77 : x
  2. Step 2: Convert to fraction form
    121,677.78/182,563.41 = 85,688.77/x
  3. Step 3: Cross multiply
    121,677.78x = 182,563.41 × 85,688.77
  4. Step 4: Simplify right side
    121,677.78x = 15,643,635,111.49
  5. Step 5: Solve for x
    x = 15,643,635,111.49/121,677.78
  6. Step 6: Final answer
    x = 128,566.08

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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.