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Finding the Fourth Proportional to 153,718, 212,134.08 and 86,650

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Solution

The fourth proportional to 153,718, 212,134.08 and 86,650 is: 119,578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,718 : 212,134.08 = 86,650 : x
  2. Step 2: Convert to fraction form
    153,718/212,134.08 = 86,650/x
  3. Step 3: Cross multiply
    153,718x = 212,134.08 × 86,650
  4. Step 4: Simplify right side
    153,718x = 18,381,418,032
  5. Step 5: Solve for x
    x = 18,381,418,032/153,718
  6. Step 6: Final answer
    x = 119,578.83

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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.