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Finding the Fourth Proportional to 144,130, 198,883.20 and 83,693.20

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Solution

The fourth proportional to 144,130, 198,883.20 and 83,693.20 is: 115,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,130 : 198,883.20 = 83,693.20 : x
  2. Step 2: Convert to fraction form
    144,130/198,883.20 = 83,693.20/x
  3. Step 3: Cross multiply
    144,130x = 198,883.20 × 83,693.20
  4. Step 4: Simplify right side
    144,130x = 16,645,171,434.24
  5. Step 5: Solve for x
    x = 16,645,171,434.24/144,130
  6. Step 6: Final answer
    x = 115,487.21

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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.