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Finding the Fourth Proportional to 200,078.61, 299,784.74 and 140,789.72

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Solution

The fourth proportional to 200,078.61, 299,784.74 and 140,789.72 is: 210,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,078.61 : 299,784.74 = 140,789.72 : x
  2. Step 2: Convert to fraction form
    200,078.61/299,784.74 = 140,789.72/x
  3. Step 3: Cross multiply
    200,078.61x = 299,784.74 × 140,789.72
  4. Step 4: Simplify right side
    200,078.61x = 42,206,607,402.00
  5. Step 5: Solve for x
    x = 42,206,607,402.00/200,078.61
  6. Step 6: Final answer
    x = 210,950.12

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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.