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Finding the Fourth Proportional to 157,140.56, 216,849.82 and 85,519.06

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Solution

The fourth proportional to 157,140.56, 216,849.82 and 85,519.06 is: 118,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,140.56 : 216,849.82 = 85,519.06 : x
  2. Step 2: Convert to fraction form
    157,140.56/216,849.82 = 85,519.06/x
  3. Step 3: Cross multiply
    157,140.56x = 216,849.82 × 85,519.06
  4. Step 4: Simplify right side
    157,140.56x = 18,544,792,767.57
  5. Step 5: Solve for x
    x = 18,544,792,767.57/157,140.56
  6. Step 6: Final answer
    x = 118,014.04

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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.