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Finding the Fourth Proportional to 145,313.58, 200,550.66 and 81,650

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Solution

The fourth proportional to 145,313.58, 200,550.66 and 81,650 is: 112,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,313.58 : 200,550.66 = 81,650 : x
  2. Step 2: Convert to fraction form
    145,313.58/200,550.66 = 81,650/x
  3. Step 3: Cross multiply
    145,313.58x = 200,550.66 × 81,650
  4. Step 4: Simplify right side
    145,313.58x = 16,374,961,389
  5. Step 5: Solve for x
    x = 16,374,961,389/145,313.58
  6. Step 6: Final answer
    x = 112,687.07

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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.