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Finding the Fourth Proportional to 208,253.61, 312,340.89 and 101,530.44

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Solution

The fourth proportional to 208,253.61, 312,340.89 and 101,530.44 is: 152,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,253.61 : 312,340.89 = 101,530.44 : x
  2. Step 2: Convert to fraction form
    208,253.61/312,340.89 = 101,530.44/x
  3. Step 3: Cross multiply
    208,253.61x = 312,340.89 × 101,530.44
  4. Step 4: Simplify right side
    208,253.61x = 31,712,107,991.69
  5. Step 5: Solve for x
    x = 31,712,107,991.69/208,253.61
  6. Step 6: Final answer
    x = 152,276.39

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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.