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Finding the Fourth Proportional to 157,118.73, 216,828.41 and 85,503.37

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Solution

The fourth proportional to 157,118.73, 216,828.41 and 85,503.37 is: 117,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,118.73 : 216,828.41 = 85,503.37 : x
  2. Step 2: Convert to fraction form
    157,118.73/216,828.41 = 85,503.37/x
  3. Step 3: Cross multiply
    157,118.73x = 216,828.41 × 85,503.37
  4. Step 4: Simplify right side
    157,118.73x = 18,539,559,766.74
  5. Step 5: Solve for x
    x = 18,539,559,766.74/157,118.73
  6. Step 6: Final answer
    x = 117,997.13

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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.