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Finding the Fourth Proportional to 157,893.21, 218,038.11 and 101,403

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Solution

The fourth proportional to 157,893.21, 218,038.11 and 101,403 is: 140,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,893.21 : 218,038.11 = 101,403 : x
  2. Step 2: Convert to fraction form
    157,893.21/218,038.11 = 101,403/x
  3. Step 3: Cross multiply
    157,893.21x = 218,038.11 × 101,403
  4. Step 4: Simplify right side
    157,893.21x = 22,109,718,468.33
  5. Step 5: Solve for x
    x = 22,109,718,468.33/157,893.21
  6. Step 6: Final answer
    x = 140,029.57

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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.