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Finding the Fourth Proportional to 157,361.68, 217,153.02 and 85,742.24

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Solution

The fourth proportional to 157,361.68, 217,153.02 and 85,742.24 is: 118,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,361.68 : 217,153.02 = 85,742.24 : x
  2. Step 2: Convert to fraction form
    157,361.68/217,153.02 = 85,742.24/x
  3. Step 3: Cross multiply
    157,361.68x = 217,153.02 × 85,742.24
  4. Step 4: Simplify right side
    157,361.68x = 18,619,185,271.80
  5. Step 5: Solve for x
    x = 18,619,185,271.80/157,361.68
  6. Step 6: Final answer
    x = 118,320.96

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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.