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Finding the Fourth Proportional to 103,625.86, 155,214.15 and 64,192.90

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Solution

The fourth proportional to 103,625.86, 155,214.15 and 64,192.90 is: 96,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,625.86 : 155,214.15 = 64,192.90 : x
  2. Step 2: Convert to fraction form
    103,625.86/155,214.15 = 64,192.90/x
  3. Step 3: Cross multiply
    103,625.86x = 155,214.15 × 64,192.90
  4. Step 4: Simplify right side
    103,625.86x = 9,963,646,409.54
  5. Step 5: Solve for x
    x = 9,963,646,409.54/103,625.86
  6. Step 6: Final answer
    x = 96,150.19

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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.