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Finding the Fourth Proportional to 152,992.64, 211,124.40 and 85,008.80

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Solution

The fourth proportional to 152,992.64, 211,124.40 and 85,008.80 is: 117,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,992.64 : 211,124.40 = 85,008.80 : x
  2. Step 2: Convert to fraction form
    152,992.64/211,124.40 = 85,008.80/x
  3. Step 3: Cross multiply
    152,992.64x = 211,124.40 × 85,008.80
  4. Step 4: Simplify right side
    152,992.64x = 17,947,431,894.72
  5. Step 5: Solve for x
    x = 17,947,431,894.72/152,992.64
  6. Step 6: Final answer
    x = 117,309.12

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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.