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Finding the Fourth Proportional to 153,474.72, 211,786.84 and 84,561.90

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Solution

The fourth proportional to 153,474.72, 211,786.84 and 84,561.90 is: 116,690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,474.72 : 211,786.84 = 84,561.90 : x
  2. Step 2: Convert to fraction form
    153,474.72/211,786.84 = 84,561.90/x
  3. Step 3: Cross multiply
    153,474.72x = 211,786.84 × 84,561.90
  4. Step 4: Simplify right side
    153,474.72x = 17,909,097,585.40
  5. Step 5: Solve for x
    x = 17,909,097,585.40/153,474.72
  6. Step 6: Final answer
    x = 116,690.86

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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.