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Finding the Fourth Proportional to 284,071.88, 392,006.08 and 163,128.08

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Solution

The fourth proportional to 284,071.88, 392,006.08 and 163,128.08 is: 225,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,071.88 : 392,006.08 = 163,128.08 : x
  2. Step 2: Convert to fraction form
    284,071.88/392,006.08 = 163,128.08/x
  3. Step 3: Cross multiply
    284,071.88x = 392,006.08 × 163,128.08
  4. Step 4: Simplify right side
    284,071.88x = 63,947,199,178.73
  5. Step 5: Solve for x
    x = 63,947,199,178.73/284,071.88
  6. Step 6: Final answer
    x = 225,109.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.