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Finding the Fourth Proportional to 152,911.91, 211,011.13 and 84,933.20

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Solution

The fourth proportional to 152,911.91, 211,011.13 and 84,933.20 is: 117,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,911.91 : 211,011.13 = 84,933.20 : x
  2. Step 2: Convert to fraction form
    152,911.91/211,011.13 = 84,933.20/x
  3. Step 3: Cross multiply
    152,911.91x = 211,011.13 × 84,933.20
  4. Step 4: Simplify right side
    152,911.91x = 17,921,850,506.52
  5. Step 5: Solve for x
    x = 17,921,850,506.52/152,911.91
  6. Step 6: Final answer
    x = 117,203.76

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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.