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Finding the Fourth Proportional to 216,897.64, 299,318.40 and 121,422.70

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Solution

The fourth proportional to 216,897.64, 299,318.40 and 121,422.70 is: 167,563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,897.64 : 299,318.40 = 121,422.70 : x
  2. Step 2: Convert to fraction form
    216,897.64/299,318.40 = 121,422.70/x
  3. Step 3: Cross multiply
    216,897.64x = 299,318.40 × 121,422.70
  4. Step 4: Simplify right side
    216,897.64x = 36,344,048,287.68
  5. Step 5: Solve for x
    x = 36,344,048,287.68/216,897.64
  6. Step 6: Final answer
    x = 167,563.13

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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.