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Finding the Fourth Proportional to 157,541.34, 217,402.20 and 85,922.76

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Solution

The fourth proportional to 157,541.34, 217,402.20 and 85,922.76 is: 118,570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,541.34 : 217,402.20 = 85,922.76 : x
  2. Step 2: Convert to fraction form
    157,541.34/217,402.20 = 85,922.76/x
  3. Step 3: Cross multiply
    157,541.34x = 217,402.20 × 85,922.76
  4. Step 4: Simplify right side
    157,541.34x = 18,679,797,054.07
  5. Step 5: Solve for x
    x = 18,679,797,054.07/157,541.34
  6. Step 6: Final answer
    x = 118,570.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.