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Finding the Fourth Proportional to 172,661.40, 238,309.47 and 116,039.97

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Solution

The fourth proportional to 172,661.40, 238,309.47 and 116,039.97 is: 160,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,661.40 : 238,309.47 = 116,039.97 : x
  2. Step 2: Convert to fraction form
    172,661.40/238,309.47 = 116,039.97/x
  3. Step 3: Cross multiply
    172,661.40x = 238,309.47 × 116,039.97
  4. Step 4: Simplify right side
    172,661.40x = 27,653,423,749.52
  5. Step 5: Solve for x
    x = 27,653,423,749.52/172,661.40
  6. Step 6: Final answer
    x = 160,159.85

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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.