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Finding the Fourth Proportional to 153,133.50, 211,324.23 and 86,065.50

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Solution

The fourth proportional to 153,133.50, 211,324.23 and 86,065.50 is: 118,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,133.50 : 211,324.23 = 86,065.50 : x
  2. Step 2: Convert to fraction form
    153,133.50/211,324.23 = 86,065.50/x
  3. Step 3: Cross multiply
    153,133.50x = 211,324.23 × 86,065.50
  4. Step 4: Simplify right side
    153,133.50x = 18,187,725,517.07
  5. Step 5: Solve for x
    x = 18,187,725,517.07/153,133.50
  6. Step 6: Final answer
    x = 118,770.39

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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.