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Finding the Fourth Proportional to 255,730.60, 383,451.90 and 97,964.20

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Solution

The fourth proportional to 255,730.60, 383,451.90 and 97,964.20 is: 146,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,730.60 : 383,451.90 = 97,964.20 : x
  2. Step 2: Convert to fraction form
    255,730.60/383,451.90 = 97,964.20/x
  3. Step 3: Cross multiply
    255,730.60x = 383,451.90 × 97,964.20
  4. Step 4: Simplify right side
    255,730.60x = 37,564,558,621.98
  5. Step 5: Solve for x
    x = 37,564,558,621.98/255,730.60
  6. Step 6: Final answer
    x = 146,891.14

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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.