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Finding the Fourth Proportional to 157,861, 237,857.18 and 130,396.32

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Solution

The fourth proportional to 157,861, 237,857.18 and 130,396.32 is: 196,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,861 : 237,857.18 = 130,396.32 : x
  2. Step 2: Convert to fraction form
    157,861/237,857.18 = 130,396.32/x
  3. Step 3: Cross multiply
    157,861x = 237,857.18 × 130,396.32
  4. Step 4: Simplify right side
    157,861x = 31,015,700,957.58
  5. Step 5: Solve for x
    x = 31,015,700,957.58/157,861
  6. Step 6: Final answer
    x = 196,474.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.