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Finding the Fourth Proportional to 151,322.50, 208,839.63 and 84,254.50

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Solution

The fourth proportional to 151,322.50, 208,839.63 and 84,254.50 is: 116,279.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,322.50 : 208,839.63 = 84,254.50 : x
  2. Step 2: Convert to fraction form
    151,322.50/208,839.63 = 84,254.50/x
  3. Step 3: Cross multiply
    151,322.50x = 208,839.63 × 84,254.50
  4. Step 4: Simplify right side
    151,322.50x = 17,595,678,605.84
  5. Step 5: Solve for x
    x = 17,595,678,605.84/151,322.50
  6. Step 6: Final answer
    x = 116,279.33

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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.