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Finding the Fourth Proportional to 153,664.65, 211,978.17 and 102,661.08

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Solution

The fourth proportional to 153,664.65, 211,978.17 and 102,661.08 is: 141,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,664.65 : 211,978.17 = 102,661.08 : x
  2. Step 2: Convert to fraction form
    153,664.65/211,978.17 = 102,661.08/x
  3. Step 3: Cross multiply
    153,664.65x = 211,978.17 × 102,661.08
  4. Step 4: Simplify right side
    153,664.65x = 21,761,907,868.62
  5. Step 5: Solve for x
    x = 21,761,907,868.62/153,664.65
  6. Step 6: Final answer
    x = 141,619.48

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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.