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Finding the Fourth Proportional to 255,742.69, 352,855.68 and 145,359.79

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Solution

The fourth proportional to 255,742.69, 352,855.68 and 145,359.79 is: 200,557.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,742.69 : 352,855.68 = 145,359.79 : x
  2. Step 2: Convert to fraction form
    255,742.69/352,855.68 = 145,359.79/x
  3. Step 3: Cross multiply
    255,742.69x = 352,855.68 × 145,359.79
  4. Step 4: Simplify right side
    255,742.69x = 51,291,027,545.11
  5. Step 5: Solve for x
    x = 51,291,027,545.11/255,742.69
  6. Step 6: Final answer
    x = 200,557.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.