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Finding the Fourth Proportional to 189,970.02, 284,849.70 and 77,728.98

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Solution

The fourth proportional to 189,970.02, 284,849.70 and 77,728.98 is: 116,550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,970.02 : 284,849.70 = 77,728.98 : x
  2. Step 2: Convert to fraction form
    189,970.02/284,849.70 = 77,728.98/x
  3. Step 3: Cross multiply
    189,970.02x = 284,849.70 × 77,728.98
  4. Step 4: Simplify right side
    189,970.02x = 22,141,076,634.31
  5. Step 5: Solve for x
    x = 22,141,076,634.31/189,970.02
  6. Step 6: Final answer
    x = 116,550.37

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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.