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Finding the Fourth Proportional to 144,803.70, 216,829.44 and 99,963.72

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Solution

The fourth proportional to 144,803.70, 216,829.44 and 99,963.72 is: 149,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,803.70 : 216,829.44 = 99,963.72 : x
  2. Step 2: Convert to fraction form
    144,803.70/216,829.44 = 99,963.72/x
  3. Step 3: Cross multiply
    144,803.70x = 216,829.44 × 99,963.72
  4. Step 4: Simplify right side
    144,803.70x = 21,675,077,427.92
  5. Step 5: Solve for x
    x = 21,675,077,427.92/144,803.70
  6. Step 6: Final answer
    x = 149,685.94

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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.