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Finding the Fourth Proportional to 85,298.38, 128,058.44 and 65,590.77

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Solution

The fourth proportional to 85,298.38, 128,058.44 and 65,590.77 is: 98,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,298.38 : 128,058.44 = 65,590.77 : x
  2. Step 2: Convert to fraction form
    85,298.38/128,058.44 = 65,590.77/x
  3. Step 3: Cross multiply
    85,298.38x = 128,058.44 × 65,590.77
  4. Step 4: Simplify right side
    85,298.38x = 8,399,451,356.64
  5. Step 5: Solve for x
    x = 8,399,451,356.64/85,298.38
  6. Step 6: Final answer
    x = 98,471.41

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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.