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Finding the Fourth Proportional to 143,070.35, 214,642.94 and 83,041.11

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Solution

The fourth proportional to 143,070.35, 214,642.94 and 83,041.11 is: 124,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,070.35 : 214,642.94 = 83,041.11 : x
  2. Step 2: Convert to fraction form
    143,070.35/214,642.94 = 83,041.11/x
  3. Step 3: Cross multiply
    143,070.35x = 214,642.94 × 83,041.11
  4. Step 4: Simplify right side
    143,070.35x = 17,824,187,576.06
  5. Step 5: Solve for x
    x = 17,824,187,576.06/143,070.35
  6. Step 6: Final answer
    x = 124,583.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.