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Finding the Fourth Proportional to 189,729.78, 284,754.33 and 94,931.52

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Solution

The fourth proportional to 189,729.78, 284,754.33 and 94,931.52 is: 142,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,729.78 : 284,754.33 = 94,931.52 : x
  2. Step 2: Convert to fraction form
    189,729.78/284,754.33 = 94,931.52/x
  3. Step 3: Cross multiply
    189,729.78x = 284,754.33 × 94,931.52
  4. Step 4: Simplify right side
    189,729.78x = 27,032,161,373.48
  5. Step 5: Solve for x
    x = 27,032,161,373.48/189,729.78
  6. Step 6: Final answer
    x = 142,477.17

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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.