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Finding the Fourth Proportional to 153,609, 211,980.42 and 82,953

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Solution

The fourth proportional to 153,609, 211,980.42 and 82,953 is: 114,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,609 : 211,980.42 = 82,953 : x
  2. Step 2: Convert to fraction form
    153,609/211,980.42 = 82,953/x
  3. Step 3: Cross multiply
    153,609x = 211,980.42 × 82,953
  4. Step 4: Simplify right side
    153,609x = 17,584,411,780.26
  5. Step 5: Solve for x
    x = 17,584,411,780.26/153,609
  6. Step 6: Final answer
    x = 114,475.14

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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.