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Finding the Fourth Proportional to 101,435.86, 139,934.32 and 65,637.44

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Solution

The fourth proportional to 101,435.86, 139,934.32 and 65,637.44 is: 90,549.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,435.86 : 139,934.32 = 65,637.44 : x
  2. Step 2: Convert to fraction form
    101,435.86/139,934.32 = 65,637.44/x
  3. Step 3: Cross multiply
    101,435.86x = 139,934.32 × 65,637.44
  4. Step 4: Simplify right side
    101,435.86x = 9,184,930,532.94
  5. Step 5: Solve for x
    x = 9,184,930,532.94/101,435.86
  6. Step 6: Final answer
    x = 90,549.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.