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Finding the Fourth Proportional to 143,782.55, 198,420.71 and 83,389.01

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Solution

The fourth proportional to 143,782.55, 198,420.71 and 83,389.01 is: 115,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,782.55 : 198,420.71 = 83,389.01 : x
  2. Step 2: Convert to fraction form
    143,782.55/198,420.71 = 83,389.01/x
  3. Step 3: Cross multiply
    143,782.55x = 198,420.71 × 83,389.01
  4. Step 4: Simplify right side
    143,782.55x = 16,546,106,570.40
  5. Step 5: Solve for x
    x = 16,546,106,570.40/143,782.55
  6. Step 6: Final answer
    x = 115,077.29

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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.