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Finding the Fourth Proportional to 153,719, 212,135.46 and 86,651

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Solution

The fourth proportional to 153,719, 212,135.46 and 86,651 is: 119,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,719 : 212,135.46 = 86,651 : x
  2. Step 2: Convert to fraction form
    153,719/212,135.46 = 86,651/x
  3. Step 3: Cross multiply
    153,719x = 212,135.46 × 86,651
  4. Step 4: Simplify right side
    153,719x = 18,381,749,744.46
  5. Step 5: Solve for x
    x = 18,381,749,744.46/153,719
  6. Step 6: Final answer
    x = 119,580.21

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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.