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Finding the Fourth Proportional to 151,310, 208,809.24 and 84,243.44

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Solution

The fourth proportional to 151,310, 208,809.24 and 84,243.44 is: 116,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,310 : 208,809.24 = 84,243.44 : x
  2. Step 2: Convert to fraction form
    151,310/208,809.24 = 84,243.44/x
  3. Step 3: Cross multiply
    151,310x = 208,809.24 × 84,243.44
  4. Step 4: Simplify right side
    151,310x = 17,590,808,681.39
  5. Step 5: Solve for x
    x = 17,590,808,681.39/151,310
  6. Step 6: Final answer
    x = 116,256.75

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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.