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Finding the Fourth Proportional to 157,205.43, 216,948.03 and 85,586.67

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Solution

The fourth proportional to 157,205.43, 216,948.03 and 85,586.67 is: 118,112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,205.43 : 216,948.03 = 85,586.67 : x
  2. Step 2: Convert to fraction form
    157,205.43/216,948.03 = 85,586.67/x
  3. Step 3: Cross multiply
    157,205.43x = 216,948.03 × 85,586.67
  4. Step 4: Simplify right side
    157,205.43x = 18,567,859,450.76
  5. Step 5: Solve for x
    x = 18,567,859,450.76/157,205.43
  6. Step 6: Final answer
    x = 118,112.07

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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.