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Finding the Fourth Proportional to 144,129.63, 198,883.71 and 83,688.45

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Solution

The fourth proportional to 144,129.63, 198,883.71 and 83,688.45 is: 115,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,129.63 : 198,883.71 = 83,688.45 : x
  2. Step 2: Convert to fraction form
    144,129.63/198,883.71 = 83,688.45/x
  3. Step 3: Cross multiply
    144,129.63x = 198,883.71 × 83,688.45
  4. Step 4: Simplify right side
    144,129.63x = 16,644,269,420.15
  5. Step 5: Solve for x
    x = 16,644,269,420.15/144,129.63
  6. Step 6: Final answer
    x = 115,481.25

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1.5x scale

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.