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Finding the Fourth Proportional to 157,028.76, 216,693.42 and 85,408.74

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Solution

The fourth proportional to 157,028.76, 216,693.42 and 85,408.74 is: 117,860.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,028.76 : 216,693.42 = 85,408.74 : x
  2. Step 2: Convert to fraction form
    157,028.76/216,693.42 = 85,408.74/x
  3. Step 3: Cross multiply
    157,028.76x = 216,693.42 × 85,408.74
  4. Step 4: Simplify right side
    157,028.76x = 18,507,511,968.49
  5. Step 5: Solve for x
    x = 18,507,511,968.49/157,028.76
  6. Step 6: Final answer
    x = 117,860.65

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1.5x scale

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.