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Finding the Fourth Proportional to 100,838, 139,156.44 and 56,125.04

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Solution

The fourth proportional to 100,838, 139,156.44 and 56,125.04 is: 77,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,838 : 139,156.44 = 56,125.04 : x
  2. Step 2: Convert to fraction form
    100,838/139,156.44 = 56,125.04/x
  3. Step 3: Cross multiply
    100,838x = 139,156.44 × 56,125.04
  4. Step 4: Simplify right side
    100,838x = 7,810,160,761.26
  5. Step 5: Solve for x
    x = 7,810,160,761.26/100,838
  6. Step 6: Final answer
    x = 77,452.56

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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.