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Finding the Fourth Proportional to 157,368.53, 217,168.62 and 85,748.58

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Solution

The fourth proportional to 157,368.53, 217,168.62 and 85,748.58 is: 118,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,368.53 : 217,168.62 = 85,748.58 : x
  2. Step 2: Convert to fraction form
    157,368.53/217,168.62 = 85,748.58/x
  3. Step 3: Cross multiply
    157,368.53x = 217,168.62 × 85,748.58
  4. Step 4: Simplify right side
    157,368.53x = 18,621,900,785.56
  5. Step 5: Solve for x
    x = 18,621,900,785.56/157,368.53
  6. Step 6: Final answer
    x = 118,333.07

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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.