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Finding the Fourth Proportional to 160,004.19, 220,640.40 and 137,417.97

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Solution

The fourth proportional to 160,004.19, 220,640.40 and 137,417.97 is: 189,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,004.19 : 220,640.40 = 137,417.97 : x
  2. Step 2: Convert to fraction form
    160,004.19/220,640.40 = 137,417.97/x
  3. Step 3: Cross multiply
    160,004.19x = 220,640.40 × 137,417.97
  4. Step 4: Simplify right side
    160,004.19x = 30,319,955,867.99
  5. Step 5: Solve for x
    x = 30,319,955,867.99/160,004.19
  6. Step 6: Final answer
    x = 189,494.76

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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.