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Finding the Fourth Proportional to 205,689.80, 308,534.70 and 94,881.80

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Solution

The fourth proportional to 205,689.80, 308,534.70 and 94,881.80 is: 142,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,689.80 : 308,534.70 = 94,881.80 : x
  2. Step 2: Convert to fraction form
    205,689.80/308,534.70 = 94,881.80/x
  3. Step 3: Cross multiply
    205,689.80x = 308,534.70 × 94,881.80
  4. Step 4: Simplify right side
    205,689.80x = 29,274,327,698.46
  5. Step 5: Solve for x
    x = 29,274,327,698.46/205,689.80
  6. Step 6: Final answer
    x = 142,322.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.