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Finding the Fourth Proportional to 257,154.28, 385,583.64 and 137,063.32

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Solution

The fourth proportional to 257,154.28, 385,583.64 and 137,063.32 is: 205,516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,154.28 : 385,583.64 = 137,063.32 : x
  2. Step 2: Convert to fraction form
    257,154.28/385,583.64 = 137,063.32/x
  3. Step 3: Cross multiply
    257,154.28x = 385,583.64 × 137,063.32
  4. Step 4: Simplify right side
    257,154.28x = 52,849,373,836.08
  5. Step 5: Solve for x
    x = 52,849,373,836.08/257,154.28
  6. Step 6: Final answer
    x = 205,516.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.