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Finding the Fourth Proportional to 145,295.40, 217,943.10 and 51,767.40

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Solution

The fourth proportional to 145,295.40, 217,943.10 and 51,767.40 is: 77,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,295.40 : 217,943.10 = 51,767.40 : x
  2. Step 2: Convert to fraction form
    145,295.40/217,943.10 = 51,767.40/x
  3. Step 3: Cross multiply
    145,295.40x = 217,943.10 × 51,767.40
  4. Step 4: Simplify right side
    145,295.40x = 11,282,347,634.94
  5. Step 5: Solve for x
    x = 11,282,347,634.94/145,295.40
  6. Step 6: Final answer
    x = 77,651.10

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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.