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Finding the Fourth Proportional to 216,105.93, 297,869.27 and 144,459.81

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Solution

The fourth proportional to 216,105.93, 297,869.27 and 144,459.81 is: 199,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,105.93 : 297,869.27 = 144,459.81 : x
  2. Step 2: Convert to fraction form
    216,105.93/297,869.27 = 144,459.81/x
  3. Step 3: Cross multiply
    216,105.93x = 297,869.27 × 144,459.81
  4. Step 4: Simplify right side
    216,105.93x = 43,030,137,426.74
  5. Step 5: Solve for x
    x = 43,030,137,426.74/216,105.93
  6. Step 6: Final answer
    x = 199,115.95

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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.