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Finding the Fourth Proportional to 243,047.80, 364,571.70 and 85,219.30

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Solution

The fourth proportional to 243,047.80, 364,571.70 and 85,219.30 is: 127,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,047.80 : 364,571.70 = 85,219.30 : x
  2. Step 2: Convert to fraction form
    243,047.80/364,571.70 = 85,219.30/x
  3. Step 3: Cross multiply
    243,047.80x = 364,571.70 × 85,219.30
  4. Step 4: Simplify right side
    243,047.80x = 31,068,545,073.81
  5. Step 5: Solve for x
    x = 31,068,545,073.81/243,047.80
  6. Step 6: Final answer
    x = 127,828.95

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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.