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Finding the Fourth Proportional to 216,905.94, 299,327.22 and 121,412.70

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Solution

The fourth proportional to 216,905.94, 299,327.22 and 121,412.70 is: 167,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,905.94 : 299,327.22 = 121,412.70 : x
  2. Step 2: Convert to fraction form
    216,905.94/299,327.22 = 121,412.70/x
  3. Step 3: Cross multiply
    216,905.94x = 299,327.22 × 121,412.70
  4. Step 4: Simplify right side
    216,905.94x = 36,342,125,963.69
  5. Step 5: Solve for x
    x = 36,342,125,963.69/216,905.94
  6. Step 6: Final answer
    x = 167,547.86

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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.