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Finding the Fourth Proportional to 152,902, 211,004.88 and 85,855.60

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Solution

The fourth proportional to 152,902, 211,004.88 and 85,855.60 is: 118,480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,902 : 211,004.88 = 85,855.60 : x
  2. Step 2: Convert to fraction form
    152,902/211,004.88 = 85,855.60/x
  3. Step 3: Cross multiply
    152,902x = 211,004.88 × 85,855.60
  4. Step 4: Simplify right side
    152,902x = 18,115,950,575.33
  5. Step 5: Solve for x
    x = 18,115,950,575.33/152,902
  6. Step 6: Final answer
    x = 118,480.80

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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.