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Finding the Fourth Proportional to 144,642.40, 199,600.64 and 84,214.80

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Solution

The fourth proportional to 144,642.40, 199,600.64 and 84,214.80 is: 116,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,642.40 : 199,600.64 = 84,214.80 : x
  2. Step 2: Convert to fraction form
    144,642.40/199,600.64 = 84,214.80/x
  3. Step 3: Cross multiply
    144,642.40x = 199,600.64 × 84,214.80
  4. Step 4: Simplify right side
    144,642.40x = 16,809,327,977.47
  5. Step 5: Solve for x
    x = 16,809,327,977.47/144,642.40
  6. Step 6: Final answer
    x = 116,213.01

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1.5x scale

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.