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Finding the Fourth Proportional to 202,071.66, 278,860.82 and 111,430.82

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Solution

The fourth proportional to 202,071.66, 278,860.82 and 111,430.82 is: 153,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,071.66 : 278,860.82 = 111,430.82 : x
  2. Step 2: Convert to fraction form
    202,071.66/278,860.82 = 111,430.82/x
  3. Step 3: Cross multiply
    202,071.66x = 278,860.82 × 111,430.82
  4. Step 4: Simplify right side
    202,071.66x = 31,073,687,887.01
  5. Step 5: Solve for x
    x = 31,073,687,887.01/202,071.66
  6. Step 6: Final answer
    x = 153,775.59

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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.