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Finding the Fourth Proportional to 208,469.90, 287,688.71 and 112,976.60

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Solution

The fourth proportional to 208,469.90, 287,688.71 and 112,976.60 is: 155,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,469.90 : 287,688.71 = 112,976.60 : x
  2. Step 2: Convert to fraction form
    208,469.90/287,688.71 = 112,976.60/x
  3. Step 3: Cross multiply
    208,469.90x = 287,688.71 × 112,976.60
  4. Step 4: Simplify right side
    208,469.90x = 32,502,090,875.74
  5. Step 5: Solve for x
    x = 32,502,090,875.74/208,469.90
  6. Step 6: Final answer
    x = 155,907.84

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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.