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Finding the Fourth Proportional to 119,009.16, 164,232.78 and 65,294.39

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Solution

The fourth proportional to 119,009.16, 164,232.78 and 65,294.39 is: 90,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,009.16 : 164,232.78 = 65,294.39 : x
  2. Step 2: Convert to fraction form
    119,009.16/164,232.78 = 65,294.39/x
  3. Step 3: Cross multiply
    119,009.16x = 164,232.78 × 65,294.39
  4. Step 4: Simplify right side
    119,009.16x = 10,723,478,366.94
  5. Step 5: Solve for x
    x = 10,723,478,366.94/119,009.16
  6. Step 6: Final answer
    x = 90,106.33

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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.