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Finding the Fourth Proportional to 157,222.72, 216,971.26 and 85,606.67

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Solution

The fourth proportional to 157,222.72, 216,971.26 and 85,606.67 is: 118,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,222.72 : 216,971.26 = 85,606.67 : x
  2. Step 2: Convert to fraction form
    157,222.72/216,971.26 = 85,606.67/x
  3. Step 3: Cross multiply
    157,222.72x = 216,971.26 × 85,606.67
  4. Step 4: Simplify right side
    157,222.72x = 18,574,187,382.72
  5. Step 5: Solve for x
    x = 18,574,187,382.72/157,222.72
  6. Step 6: Final answer
    x = 118,139.33

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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.