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Finding the Fourth Proportional to 151,423.50, 208,968.75 and 84,359.82

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Solution

The fourth proportional to 151,423.50, 208,968.75 and 84,359.82 is: 116,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,423.50 : 208,968.75 = 84,359.82 : x
  2. Step 2: Convert to fraction form
    151,423.50/208,968.75 = 84,359.82/x
  3. Step 3: Cross multiply
    151,423.50x = 208,968.75 × 84,359.82
  4. Step 4: Simplify right side
    151,423.50x = 17,628,566,135.63
  5. Step 5: Solve for x
    x = 17,628,566,135.63/151,423.50
  6. Step 6: Final answer
    x = 116,418.96

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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.