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Finding the Fourth Proportional to 153,721, 212,134.98 and 86,653

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Solution

The fourth proportional to 153,721, 212,134.98 and 86,653 is: 119,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,721 : 212,134.98 = 86,653 : x
  2. Step 2: Convert to fraction form
    153,721/212,134.98 = 86,653/x
  3. Step 3: Cross multiply
    153,721x = 212,134.98 × 86,653
  4. Step 4: Simplify right side
    153,721x = 18,382,132,421.94
  5. Step 5: Solve for x
    x = 18,382,132,421.94/153,721
  6. Step 6: Final answer
    x = 119,581.14

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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.