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Finding the Fourth Proportional to 152,907.46, 211,000.20 and 84,917.86

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Solution

The fourth proportional to 152,907.46, 211,000.20 and 84,917.86 is: 117,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,907.46 : 211,000.20 = 84,917.86 : x
  2. Step 2: Convert to fraction form
    152,907.46/211,000.20 = 84,917.86/x
  3. Step 3: Cross multiply
    152,907.46x = 211,000.20 × 84,917.86
  4. Step 4: Simplify right side
    152,907.46x = 17,917,685,443.57
  5. Step 5: Solve for x
    x = 17,917,685,443.57/152,907.46
  6. Step 6: Final answer
    x = 117,179.93

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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.