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Finding the Fourth Proportional to 202,077.96, 278,854.70 and 111,434.51

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Solution

The fourth proportional to 202,077.96, 278,854.70 and 111,434.51 is: 153,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,077.96 : 278,854.70 = 111,434.51 : x
  2. Step 2: Convert to fraction form
    202,077.96/278,854.70 = 111,434.51/x
  3. Step 3: Cross multiply
    202,077.96x = 278,854.70 × 111,434.51
  4. Step 4: Simplify right side
    202,077.96x = 31,074,034,904.25
  5. Step 5: Solve for x
    x = 31,074,034,904.25/202,077.96
  6. Step 6: Final answer
    x = 153,772.51

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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.