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Finding the Fourth Proportional to 208,483.13, 287,698.99 and 112,987.78

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Solution

The fourth proportional to 208,483.13, 287,698.99 and 112,987.78 is: 155,918.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,483.13 : 287,698.99 = 112,987.78 : x
  2. Step 2: Convert to fraction form
    208,483.13/287,698.99 = 112,987.78/x
  3. Step 3: Cross multiply
    208,483.13x = 287,698.99 × 112,987.78
  4. Step 4: Simplify right side
    208,483.13x = 32,506,469,398.48
  5. Step 5: Solve for x
    x = 32,506,469,398.48/208,483.13
  6. Step 6: Final answer
    x = 155,918.94

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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.