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Finding the Fourth Proportional to 117,151.92, 161,709.08 and 71,211.40

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Solution

The fourth proportional to 117,151.92, 161,709.08 and 71,211.40 is: 98,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,151.92 : 161,709.08 = 71,211.40 : x
  2. Step 2: Convert to fraction form
    117,151.92/161,709.08 = 71,211.40/x
  3. Step 3: Cross multiply
    117,151.92x = 161,709.08 × 71,211.40
  4. Step 4: Simplify right side
    117,151.92x = 11,515,529,979.51
  5. Step 5: Solve for x
    x = 11,515,529,979.51/117,151.92
  6. Step 6: Final answer
    x = 98,295.70

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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.