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Finding the Fourth Proportional to 153,589.63, 211,946.86 and 85,614.02

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Solution

The fourth proportional to 153,589.63, 211,946.86 and 85,614.02 is: 118,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,589.63 : 211,946.86 = 85,614.02 : x
  2. Step 2: Convert to fraction form
    153,589.63/211,946.86 = 85,614.02/x
  3. Step 3: Cross multiply
    153,589.63x = 211,946.86 × 85,614.02
  4. Step 4: Simplify right side
    153,589.63x = 18,145,622,710.98
  5. Step 5: Solve for x
    x = 18,145,622,710.98/153,589.63
  6. Step 6: Final answer
    x = 118,143.54

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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.