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Finding the Fourth Proportional to 143,782.66, 198,420.86 and 83,389.12

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Solution

The fourth proportional to 143,782.66, 198,420.86 and 83,389.12 is: 115,077.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,782.66 : 198,420.86 = 83,389.12 : x
  2. Step 2: Convert to fraction form
    143,782.66/198,420.86 = 83,389.12/x
  3. Step 3: Cross multiply
    143,782.66x = 198,420.86 × 83,389.12
  4. Step 4: Simplify right side
    143,782.66x = 16,546,140,617.46
  5. Step 5: Solve for x
    x = 16,546,140,617.46/143,782.66
  6. Step 6: Final answer
    x = 115,077.44

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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.