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Finding the Fourth Proportional to 208,152.93, 287,056.08 and 138,178.47

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Solution

The fourth proportional to 208,152.93, 287,056.08 and 138,178.47 is: 190,556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,152.93 : 287,056.08 = 138,178.47 : x
  2. Step 2: Convert to fraction form
    208,152.93/287,056.08 = 138,178.47/x
  3. Step 3: Cross multiply
    208,152.93x = 287,056.08 × 138,178.47
  4. Step 4: Simplify right side
    208,152.93x = 39,664,969,938.60
  5. Step 5: Solve for x
    x = 39,664,969,938.60/208,152.93
  6. Step 6: Final answer
    x = 190,556.87

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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.