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Finding the Fourth Proportional to 162,643.10, 243,844.14 and 77,211.68

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Solution

The fourth proportional to 162,643.10, 243,844.14 and 77,211.68 is: 115,760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,643.10 : 243,844.14 = 77,211.68 : x
  2. Step 2: Convert to fraction form
    162,643.10/243,844.14 = 77,211.68/x
  3. Step 3: Cross multiply
    162,643.10x = 243,844.14 × 77,211.68
  4. Step 4: Simplify right side
    162,643.10x = 18,827,615,707.56
  5. Step 5: Solve for x
    x = 18,827,615,707.56/162,643.10
  6. Step 6: Final answer
    x = 115,760.31

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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.