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Finding the Fourth Proportional to 157,894.21, 218,039.49 and 101,404

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Solution

The fourth proportional to 157,894.21, 218,039.49 and 101,404 is: 140,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,894.21 : 218,039.49 = 101,404 : x
  2. Step 2: Convert to fraction form
    157,894.21/218,039.49 = 101,404/x
  3. Step 3: Cross multiply
    157,894.21x = 218,039.49 × 101,404
  4. Step 4: Simplify right side
    157,894.21x = 22,110,076,443.96
  5. Step 5: Solve for x
    x = 22,110,076,443.96/157,894.21
  6. Step 6: Final answer
    x = 140,030.95

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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.