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Finding the Fourth Proportional to 265,595.98, 398,471.83 and 85,677.80

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Solution

The fourth proportional to 265,595.98, 398,471.83 and 85,677.80 is: 128,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,595.98 : 398,471.83 = 85,677.80 : x
  2. Step 2: Convert to fraction form
    265,595.98/398,471.83 = 85,677.80/x
  3. Step 3: Cross multiply
    265,595.98x = 398,471.83 × 85,677.80
  4. Step 4: Simplify right side
    265,595.98x = 34,140,189,756.37
  5. Step 5: Solve for x
    x = 34,140,189,756.37/265,595.98
  6. Step 6: Final answer
    x = 128,541.82

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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.