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Finding the Fourth Proportional to 153,164.64, 211,376.88 and 86,100.96

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Solution

The fourth proportional to 153,164.64, 211,376.88 and 86,100.96 is: 118,824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,164.64 : 211,376.88 = 86,100.96 : x
  2. Step 2: Convert to fraction form
    153,164.64/211,376.88 = 86,100.96/x
  3. Step 3: Cross multiply
    153,164.64x = 211,376.88 × 86,100.96
  4. Step 4: Simplify right side
    153,164.64x = 18,199,752,289.80
  5. Step 5: Solve for x
    x = 18,199,752,289.80/153,164.64
  6. Step 6: Final answer
    x = 118,824.76

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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.