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Finding the Fourth Proportional to 151,382.94, 208,905.75 and 84,313.50

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Solution

The fourth proportional to 151,382.94, 208,905.75 and 84,313.50 is: 116,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,382.94 : 208,905.75 = 84,313.50 : x
  2. Step 2: Convert to fraction form
    151,382.94/208,905.75 = 84,313.50/x
  3. Step 3: Cross multiply
    151,382.94x = 208,905.75 × 84,313.50
  4. Step 4: Simplify right side
    151,382.94x = 17,613,574,952.63
  5. Step 5: Solve for x
    x = 17,613,574,952.63/151,382.94
  6. Step 6: Final answer
    x = 116,351.12

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1.5x scale

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.