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Finding the Fourth Proportional to 157,564.56, 217,442.06 and 85,947.14

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Solution

The fourth proportional to 157,564.56, 217,442.06 and 85,947.14 is: 118,608.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,564.56 : 217,442.06 = 85,947.14 : x
  2. Step 2: Convert to fraction form
    157,564.56/217,442.06 = 85,947.14/x
  3. Step 3: Cross multiply
    157,564.56x = 217,442.06 × 85,947.14
  4. Step 4: Simplify right side
    157,564.56x = 18,688,523,172.71
  5. Step 5: Solve for x
    x = 18,688,523,172.71/157,564.56
  6. Step 6: Final answer
    x = 118,608.67

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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.