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Finding the Fourth Proportional to 143,457, 197,970.66 and 83,841

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Solution

The fourth proportional to 143,457, 197,970.66 and 83,841 is: 115,700.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,457 : 197,970.66 = 83,841 : x
  2. Step 2: Convert to fraction form
    143,457/197,970.66 = 83,841/x
  3. Step 3: Cross multiply
    143,457x = 197,970.66 × 83,841
  4. Step 4: Simplify right side
    143,457x = 16,598,058,105.06
  5. Step 5: Solve for x
    x = 16,598,058,105.06/143,457
  6. Step 6: Final answer
    x = 115,700.58

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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.