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Finding the Fourth Proportional to 157,223.72, 216,972.64 and 85,607.67

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Solution

The fourth proportional to 157,223.72, 216,972.64 and 85,607.67 is: 118,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,223.72 : 216,972.64 = 85,607.67 : x
  2. Step 2: Convert to fraction form
    157,223.72/216,972.64 = 85,607.67/x
  3. Step 3: Cross multiply
    157,223.72x = 216,972.64 × 85,607.67
  4. Step 4: Simplify right side
    157,223.72x = 18,574,522,164.15
  5. Step 5: Solve for x
    x = 18,574,522,164.15/157,223.72
  6. Step 6: Final answer
    x = 118,140.71

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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.