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Finding the Fourth Proportional to 162,560.49, 243,619.14 and 78,314.51

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Solution

The fourth proportional to 162,560.49, 243,619.14 and 78,314.51 is: 117,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,560.49 : 243,619.14 = 78,314.51 : x
  2. Step 2: Convert to fraction form
    162,560.49/243,619.14 = 78,314.51/x
  3. Step 3: Cross multiply
    162,560.49x = 243,619.14 × 78,314.51
  4. Step 4: Simplify right side
    162,560.49x = 19,078,914,478.45
  5. Step 5: Solve for x
    x = 19,078,914,478.45/162,560.49
  6. Step 6: Final answer
    x = 117,365.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.