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Finding the Fourth Proportional to 257,027.16, 385,715.16 and 90,815.16

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Solution

The fourth proportional to 257,027.16, 385,715.16 and 90,815.16 is: 136,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,027.16 : 385,715.16 = 90,815.16 : x
  2. Step 2: Convert to fraction form
    257,027.16/385,715.16 = 90,815.16/x
  3. Step 3: Cross multiply
    257,027.16x = 385,715.16 × 90,815.16
  4. Step 4: Simplify right side
    257,027.16x = 35,028,783,969.83
  5. Step 5: Solve for x
    x = 35,028,783,969.83/257,027.16
  6. Step 6: Final answer
    x = 136,284.37

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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.