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Finding the Fourth Proportional to 153,356.83, 211,640.51 and 85,379.74

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Solution

The fourth proportional to 153,356.83, 211,640.51 and 85,379.74 is: 117,828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,356.83 : 211,640.51 = 85,379.74 : x
  2. Step 2: Convert to fraction form
    153,356.83/211,640.51 = 85,379.74/x
  3. Step 3: Cross multiply
    153,356.83x = 211,640.51 × 85,379.74
  4. Step 4: Simplify right side
    153,356.83x = 18,069,811,401.62
  5. Step 5: Solve for x
    x = 18,069,811,401.62/153,356.83
  6. Step 6: Final answer
    x = 117,828.54

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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.