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Finding the Fourth Proportional to 202,043.89, 278,822.45 and 111,403.10

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Solution

The fourth proportional to 202,043.89, 278,822.45 and 111,403.10 is: 153,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,043.89 : 278,822.45 = 111,403.10 : x
  2. Step 2: Convert to fraction form
    202,043.89/278,822.45 = 111,403.10/x
  3. Step 3: Cross multiply
    202,043.89x = 278,822.45 × 111,403.10
  4. Step 4: Simplify right side
    202,043.89x = 31,061,686,451.21
  5. Step 5: Solve for x
    x = 31,061,686,451.21/202,043.89
  6. Step 6: Final answer
    x = 153,737.32

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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.