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Finding the Fourth Proportional to 312,776.72, 469,161.12 and 76,119.92

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Solution

The fourth proportional to 312,776.72, 469,161.12 and 76,119.92 is: 114,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,776.72 : 469,161.12 = 76,119.92 : x
  2. Step 2: Convert to fraction form
    312,776.72/469,161.12 = 76,119.92/x
  3. Step 3: Cross multiply
    312,776.72x = 469,161.12 × 76,119.92
  4. Step 4: Simplify right side
    312,776.72x = 35,712,506,921.51
  5. Step 5: Solve for x
    x = 35,712,506,921.51/312,776.72
  6. Step 6: Final answer
    x = 114,178.92

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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.