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Finding the Fourth Proportional to 189,532.78, 284,204.07 and 63,128.57

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Solution

The fourth proportional to 189,532.78, 284,204.07 and 63,128.57 is: 94,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,532.78 : 284,204.07 = 63,128.57 : x
  2. Step 2: Convert to fraction form
    189,532.78/284,204.07 = 63,128.57/x
  3. Step 3: Cross multiply
    189,532.78x = 284,204.07 × 63,128.57
  4. Step 4: Simplify right side
    189,532.78x = 17,941,395,106.26
  5. Step 5: Solve for x
    x = 17,941,395,106.26/189,532.78
  6. Step 6: Final answer
    x = 94,661.17

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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.