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Finding the Fourth Proportional to 211,807.50, 292,359.96 and 136,356

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Solution

The fourth proportional to 211,807.50, 292,359.96 and 136,356 is: 188,213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,807.50 : 292,359.96 = 136,356 : x
  2. Step 2: Convert to fraction form
    211,807.50/292,359.96 = 136,356/x
  3. Step 3: Cross multiply
    211,807.50x = 292,359.96 × 136,356
  4. Step 4: Simplify right side
    211,807.50x = 39,865,034,705.76
  5. Step 5: Solve for x
    x = 39,865,034,705.76/211,807.50
  6. Step 6: Final answer
    x = 188,213.52

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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.