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Finding the Fourth Proportional to 208,089.10, 287,163.12 and 144,463.80

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Solution

The fourth proportional to 208,089.10, 287,163.12 and 144,463.80 is: 199,360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,089.10 : 287,163.12 = 144,463.80 : x
  2. Step 2: Convert to fraction form
    208,089.10/287,163.12 = 144,463.80/x
  3. Step 3: Cross multiply
    208,089.10x = 287,163.12 × 144,463.80
  4. Step 4: Simplify right side
    208,089.10x = 41,484,677,153.66
  5. Step 5: Solve for x
    x = 41,484,677,153.66/208,089.10
  6. Step 6: Final answer
    x = 199,360.16

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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.