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Finding the Fourth Proportional to 119,681.70, 165,164.22 and 65,970.18

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Solution

The fourth proportional to 119,681.70, 165,164.22 and 65,970.18 is: 91,040.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,681.70 : 165,164.22 = 65,970.18 : x
  2. Step 2: Convert to fraction form
    119,681.70/165,164.22 = 65,970.18/x
  3. Step 3: Cross multiply
    119,681.70x = 165,164.22 × 65,970.18
  4. Step 4: Simplify right side
    119,681.70x = 10,895,913,322.96
  5. Step 5: Solve for x
    x = 10,895,913,322.96/119,681.70
  6. Step 6: Final answer
    x = 91,040.76

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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.