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Finding the Fourth Proportional to 153,715, 212,129.94 and 86,647

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Solution

The fourth proportional to 153,715, 212,129.94 and 86,647 is: 119,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,715 : 212,129.94 = 86,647 : x
  2. Step 2: Convert to fraction form
    153,715/212,129.94 = 86,647/x
  3. Step 3: Cross multiply
    153,715x = 212,129.94 × 86,647
  4. Step 4: Simplify right side
    153,715x = 18,380,422,911.18
  5. Step 5: Solve for x
    x = 18,380,422,911.18/153,715
  6. Step 6: Final answer
    x = 119,574.69

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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.