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Finding the Fourth Proportional to 144,708.78, 199,679.16 and 83,457.24

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Solution

The fourth proportional to 144,708.78, 199,679.16 and 83,457.24 is: 115,160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,708.78 : 199,679.16 = 83,457.24 : x
  2. Step 2: Convert to fraction form
    144,708.78/199,679.16 = 83,457.24/x
  3. Step 3: Cross multiply
    144,708.78x = 199,679.16 × 83,457.24
  4. Step 4: Simplify right side
    144,708.78x = 16,664,671,579.12
  5. Step 5: Solve for x
    x = 16,664,671,579.12/144,708.78
  6. Step 6: Final answer
    x = 115,160.06

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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.