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Finding the Fourth Proportional to 255,433.08, 383,172.70 and 97,662.90

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Solution

The fourth proportional to 255,433.08, 383,172.70 and 97,662.90 is: 146,503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,433.08 : 383,172.70 = 97,662.90 : x
  2. Step 2: Convert to fraction form
    255,433.08/383,172.70 = 97,662.90/x
  3. Step 3: Cross multiply
    255,433.08x = 383,172.70 × 97,662.90
  4. Step 4: Simplify right side
    255,433.08x = 37,421,757,082.83
  5. Step 5: Solve for x
    x = 37,421,757,082.83/255,433.08
  6. Step 6: Final answer
    x = 146,503.17

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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.