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Finding the Fourth Proportional to 119,114.69, 164,378.60 and 65,403.19

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Solution

The fourth proportional to 119,114.69, 164,378.60 and 65,403.19 is: 90,256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,114.69 : 164,378.60 = 65,403.19 : x
  2. Step 2: Convert to fraction form
    119,114.69/164,378.60 = 65,403.19/x
  3. Step 3: Cross multiply
    119,114.69x = 164,378.60 × 65,403.19
  4. Step 4: Simplify right side
    119,114.69x = 10,750,884,807.73
  5. Step 5: Solve for x
    x = 10,750,884,807.73/119,114.69
  6. Step 6: Final answer
    x = 90,256.58

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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.