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Finding the Fourth Proportional to 155,661.10, 233,491.65 and 135,978.10

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Solution

The fourth proportional to 155,661.10, 233,491.65 and 135,978.10 is: 203,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,661.10 : 233,491.65 = 135,978.10 : x
  2. Step 2: Convert to fraction form
    155,661.10/233,491.65 = 135,978.10/x
  3. Step 3: Cross multiply
    155,661.10x = 233,491.65 × 135,978.10
  4. Step 4: Simplify right side
    155,661.10x = 31,749,750,932.87
  5. Step 5: Solve for x
    x = 31,749,750,932.87/155,661.10
  6. Step 6: Final answer
    x = 203,967.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.