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Finding the Fourth Proportional to 153,458.68, 211,759.50 and 85,470.52

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Solution

The fourth proportional to 153,458.68, 211,759.50 and 85,470.52 is: 117,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,458.68 : 211,759.50 = 85,470.52 : x
  2. Step 2: Convert to fraction form
    153,458.68/211,759.50 = 85,470.52/x
  3. Step 3: Cross multiply
    153,458.68x = 211,759.50 × 85,470.52
  4. Step 4: Simplify right side
    153,458.68x = 18,099,194,579.94
  5. Step 5: Solve for x
    x = 18,099,194,579.94/153,458.68
  6. Step 6: Final answer
    x = 117,941.81

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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.