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Finding the Fourth Proportional to 227,207.52, 340,706.94 and 77,386.86

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Solution

The fourth proportional to 227,207.52, 340,706.94 and 77,386.86 is: 116,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,207.52 : 340,706.94 = 77,386.86 : x
  2. Step 2: Convert to fraction form
    227,207.52/340,706.94 = 77,386.86/x
  3. Step 3: Cross multiply
    227,207.52x = 340,706.94 × 77,386.86
  4. Step 4: Simplify right side
    227,207.52x = 26,366,240,266.81
  5. Step 5: Solve for x
    x = 26,366,240,266.81/227,207.52
  6. Step 6: Final answer
    x = 116,044.75

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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.