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Finding the Fourth Proportional to 202,005.72, 278,767.80 and 111,363.21

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Solution

The fourth proportional to 202,005.72, 278,767.80 and 111,363.21 is: 153,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,005.72 : 278,767.80 = 111,363.21 : x
  2. Step 2: Convert to fraction form
    202,005.72/278,767.80 = 111,363.21/x
  3. Step 3: Cross multiply
    202,005.72x = 278,767.80 × 111,363.21
  4. Step 4: Simplify right side
    202,005.72x = 31,044,477,052.64
  5. Step 5: Solve for x
    x = 31,044,477,052.64/202,005.72
  6. Step 6: Final answer
    x = 153,681.18

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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.