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Finding the Fourth Proportional to 144,695.77, 199,644.09 and 83,460.68

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Solution

The fourth proportional to 144,695.77, 199,644.09 and 83,460.68 is: 115,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,695.77 : 199,644.09 = 83,460.68 : x
  2. Step 2: Convert to fraction form
    144,695.77/199,644.09 = 83,460.68/x
  3. Step 3: Cross multiply
    144,695.77x = 199,644.09 × 83,460.68
  4. Step 4: Simplify right side
    144,695.77x = 16,662,431,416.31
  5. Step 5: Solve for x
    x = 16,662,431,416.31/144,695.77
  6. Step 6: Final answer
    x = 115,154.93

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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.