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Finding the Fourth Proportional to 157,407.69, 217,222.89 and 85,787.67

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Solution

The fourth proportional to 157,407.69, 217,222.89 and 85,787.67 is: 118,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,407.69 : 217,222.89 = 85,787.67 : x
  2. Step 2: Convert to fraction form
    157,407.69/217,222.89 = 85,787.67/x
  3. Step 3: Cross multiply
    157,407.69x = 217,222.89 × 85,787.67
  4. Step 4: Simplify right side
    157,407.69x = 18,635,045,603.77
  5. Step 5: Solve for x
    x = 18,635,045,603.77/157,407.69
  6. Step 6: Final answer
    x = 118,387.14

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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.