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Finding the Fourth Proportional to 153,431.82, 211,801.43 and 103,159.98

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Solution

The fourth proportional to 153,431.82, 211,801.43 and 103,159.98 is: 142,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,431.82 : 211,801.43 = 103,159.98 : x
  2. Step 2: Convert to fraction form
    153,431.82/211,801.43 = 103,159.98/x
  3. Step 3: Cross multiply
    153,431.82x = 211,801.43 × 103,159.98
  4. Step 4: Simplify right side
    153,431.82x = 21,849,431,540.67
  5. Step 5: Solve for x
    x = 21,849,431,540.67/153,431.82
  6. Step 6: Final answer
    x = 142,404.83

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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.