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Finding the Fourth Proportional to 213,125.76, 294,100.96 and 117,630

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Solution

The fourth proportional to 213,125.76, 294,100.96 and 117,630 is: 162,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,125.76 : 294,100.96 = 117,630 : x
  2. Step 2: Convert to fraction form
    213,125.76/294,100.96 = 117,630/x
  3. Step 3: Cross multiply
    213,125.76x = 294,100.96 × 117,630
  4. Step 4: Simplify right side
    213,125.76x = 34,595,095,924.80
  5. Step 5: Solve for x
    x = 34,595,095,924.80/213,125.76
  6. Step 6: Final answer
    x = 162,322.45

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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.