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Finding the Fourth Proportional to 211,809.50, 292,362.72 and 136,358

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Solution

The fourth proportional to 211,809.50, 292,362.72 and 136,358 is: 188,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,809.50 : 292,362.72 = 136,358 : x
  2. Step 2: Convert to fraction form
    211,809.50/292,362.72 = 136,358/x
  3. Step 3: Cross multiply
    211,809.50x = 292,362.72 × 136,358
  4. Step 4: Simplify right side
    211,809.50x = 39,865,995,773.76
  5. Step 5: Solve for x
    x = 39,865,995,773.76/211,809.50
  6. Step 6: Final answer
    x = 188,216.28

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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.