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Finding the Fourth Proportional to 119,409.40, 164,783.15 and 65,691.20

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Solution

The fourth proportional to 119,409.40, 164,783.15 and 65,691.20 is: 90,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,409.40 : 164,783.15 = 65,691.20 : x
  2. Step 2: Convert to fraction form
    119,409.40/164,783.15 = 65,691.20/x
  3. Step 3: Cross multiply
    119,409.40x = 164,783.15 × 65,691.20
  4. Step 4: Simplify right side
    119,409.40x = 10,824,802,534.82
  5. Step 5: Solve for x
    x = 10,824,802,534.82/119,409.40
  6. Step 6: Final answer
    x = 90,652.85

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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.