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Finding the Fourth Proportional to 242,542.70, 363,727.65 and 84,776.30

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Solution

The fourth proportional to 242,542.70, 363,727.65 and 84,776.30 is: 127,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,542.70 : 363,727.65 = 84,776.30 : x
  2. Step 2: Convert to fraction form
    242,542.70/363,727.65 = 84,776.30/x
  3. Step 3: Cross multiply
    242,542.70x = 363,727.65 × 84,776.30
  4. Step 4: Simplify right side
    242,542.70x = 30,835,484,374.70
  5. Step 5: Solve for x
    x = 30,835,484,374.70/242,542.70
  6. Step 6: Final answer
    x = 127,134.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.