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Finding the Fourth Proportional to 217,350, 299,840.94 and 153,722.88

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Solution

The fourth proportional to 217,350, 299,840.94 and 153,722.88 is: 212,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,350 : 299,840.94 = 153,722.88 : x
  2. Step 2: Convert to fraction form
    217,350/299,840.94 = 153,722.88/x
  3. Step 3: Cross multiply
    217,350x = 299,840.94 × 153,722.88
  4. Step 4: Simplify right side
    217,350x = 46,092,412,838.71
  5. Step 5: Solve for x
    x = 46,092,412,838.71/217,350
  6. Step 6: Final answer
    x = 212,065.39

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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.