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Finding the Fourth Proportional to 141,465.63, 195,224.20 and 77,804.49

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Solution

The fourth proportional to 141,465.63, 195,224.20 and 77,804.49 is: 107,371.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,465.63 : 195,224.20 = 77,804.49 : x
  2. Step 2: Convert to fraction form
    141,465.63/195,224.20 = 77,804.49/x
  3. Step 3: Cross multiply
    141,465.63x = 195,224.20 × 77,804.49
  4. Step 4: Simplify right side
    141,465.63x = 15,189,319,316.66
  5. Step 5: Solve for x
    x = 15,189,319,316.66/141,465.63
  6. Step 6: Final answer
    x = 107,371.09

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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.