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Finding the Fourth Proportional to 208,565.72, 287,816.94 and 117,920.12

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Solution

The fourth proportional to 208,565.72, 287,816.94 and 117,920.12 is: 162,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,565.72 : 287,816.94 = 117,920.12 : x
  2. Step 2: Convert to fraction form
    208,565.72/287,816.94 = 117,920.12/x
  3. Step 3: Cross multiply
    208,565.72x = 287,816.94 × 117,920.12
  4. Step 4: Simplify right side
    208,565.72x = 33,939,408,102.83
  5. Step 5: Solve for x
    x = 33,939,408,102.83/208,565.72
  6. Step 6: Final answer
    x = 162,727.64

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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.