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Finding the Fourth Proportional to 202,089, 278,876.70 and 111,444.84

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Solution

The fourth proportional to 202,089, 278,876.70 and 111,444.84 is: 153,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,089 : 278,876.70 = 111,444.84 : x
  2. Step 2: Convert to fraction form
    202,089/278,876.70 = 111,444.84/x
  3. Step 3: Cross multiply
    202,089x = 278,876.70 × 111,444.84
  4. Step 4: Simplify right side
    202,089x = 31,079,369,211.23
  5. Step 5: Solve for x
    x = 31,079,369,211.23/202,089
  6. Step 6: Final answer
    x = 153,790.50

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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.