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Finding the Fourth Proportional to 101,434.86, 139,932.94 and 65,636.44

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Solution

The fourth proportional to 101,434.86, 139,932.94 and 65,636.44 is: 90,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,434.86 : 139,932.94 = 65,636.44 : x
  2. Step 2: Convert to fraction form
    101,434.86/139,932.94 = 65,636.44/x
  3. Step 3: Cross multiply
    101,434.86x = 139,932.94 × 65,636.44
  4. Step 4: Simplify right side
    101,434.86x = 9,184,700,020.33
  5. Step 5: Solve for x
    x = 9,184,700,020.33/101,434.86
  6. Step 6: Final answer
    x = 90,547.77

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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.