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Finding the Fourth Proportional to 157,002.41, 216,661.28 and 85,380.89

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Solution

The fourth proportional to 157,002.41, 216,661.28 and 85,380.89 is: 117,824.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,002.41 : 216,661.28 = 85,380.89 : x
  2. Step 2: Convert to fraction form
    157,002.41/216,661.28 = 85,380.89/x
  3. Step 3: Cross multiply
    157,002.41x = 216,661.28 × 85,380.89
  4. Step 4: Simplify right side
    157,002.41x = 18,498,732,914.94
  5. Step 5: Solve for x
    x = 18,498,732,914.94/157,002.41
  6. Step 6: Final answer
    x = 117,824.52

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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.