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Finding the Fourth Proportional to 153,064.94, 211,215.11 and 85,073.84

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Solution

The fourth proportional to 153,064.94, 211,215.11 and 85,073.84 is: 117,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,064.94 : 211,215.11 = 85,073.84 : x
  2. Step 2: Convert to fraction form
    153,064.94/211,215.11 = 85,073.84/x
  3. Step 3: Cross multiply
    153,064.94x = 211,215.11 × 85,073.84
  4. Step 4: Simplify right side
    153,064.94x = 17,968,879,630.33
  5. Step 5: Solve for x
    x = 17,968,879,630.33/153,064.94
  6. Step 6: Final answer
    x = 117,393.83

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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.