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Finding the Fourth Proportional to 152,978.15, 211,103.01 and 84,999.92

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Solution

The fourth proportional to 152,978.15, 211,103.01 and 84,999.92 is: 117,296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,978.15 : 211,103.01 = 84,999.92 : x
  2. Step 2: Convert to fraction form
    152,978.15/211,103.01 = 84,999.92/x
  3. Step 3: Cross multiply
    152,978.15x = 211,103.01 × 84,999.92
  4. Step 4: Simplify right side
    152,978.15x = 17,943,737,906.24
  5. Step 5: Solve for x
    x = 17,943,737,906.24/152,978.15
  6. Step 6: Final answer
    x = 117,296.08

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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.