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Finding the Fourth Proportional to 153,320.37, 211,584.11 and 84,417.85

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Solution

The fourth proportional to 153,320.37, 211,584.11 and 84,417.85 is: 116,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,320.37 : 211,584.11 = 84,417.85 : x
  2. Step 2: Convert to fraction form
    153,320.37/211,584.11 = 84,417.85/x
  3. Step 3: Cross multiply
    153,320.37x = 211,584.11 × 84,417.85
  4. Step 4: Simplify right side
    153,320.37x = 17,861,475,342.45
  5. Step 5: Solve for x
    x = 17,861,475,342.45/153,320.37
  6. Step 6: Final answer
    x = 116,497.73

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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.