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Finding the Fourth Proportional to 213,177.88, 319,461.72 and 156,574

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Solution

The fourth proportional to 213,177.88, 319,461.72 and 156,574 is: 234,636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,177.88 : 319,461.72 = 156,574 : x
  2. Step 2: Convert to fraction form
    213,177.88/319,461.72 = 156,574/x
  3. Step 3: Cross multiply
    213,177.88x = 319,461.72 × 156,574
  4. Step 4: Simplify right side
    213,177.88x = 50,019,399,347.28
  5. Step 5: Solve for x
    x = 50,019,399,347.28/213,177.88
  6. Step 6: Final answer
    x = 234,636.91

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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.