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Finding the Fourth Proportional to 153,551.74, 211,901.82 and 89,033.62

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Solution

The fourth proportional to 153,551.74, 211,901.82 and 89,033.62 is: 122,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,551.74 : 211,901.82 = 89,033.62 : x
  2. Step 2: Convert to fraction form
    153,551.74/211,901.82 = 89,033.62/x
  3. Step 3: Cross multiply
    153,551.74x = 211,901.82 × 89,033.62
  4. Step 4: Simplify right side
    153,551.74x = 18,866,385,059.68
  5. Step 5: Solve for x
    x = 18,866,385,059.68/153,551.74
  6. Step 6: Final answer
    x = 122,866.64

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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.