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Finding the Fourth Proportional to 213,794.71, 294,946.32 and 123,128.98

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Solution

The fourth proportional to 213,794.71, 294,946.32 and 123,128.98 is: 169,865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,794.71 : 294,946.32 = 123,128.98 : x
  2. Step 2: Convert to fraction form
    213,794.71/294,946.32 = 123,128.98/x
  3. Step 3: Cross multiply
    213,794.71x = 294,946.32 × 123,128.98
  4. Step 4: Simplify right side
    213,794.71x = 36,316,439,536.35
  5. Step 5: Solve for x
    x = 36,316,439,536.35/213,794.71
  6. Step 6: Final answer
    x = 169,865.94

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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.