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Finding the Fourth Proportional to 211,774.50, 292,314.42 and 136,323

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Solution

The fourth proportional to 211,774.50, 292,314.42 and 136,323 is: 188,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,774.50 : 292,314.42 = 136,323 : x
  2. Step 2: Convert to fraction form
    211,774.50/292,314.42 = 136,323/x
  3. Step 3: Cross multiply
    211,774.50x = 292,314.42 × 136,323
  4. Step 4: Simplify right side
    211,774.50x = 39,849,178,677.66
  5. Step 5: Solve for x
    x = 39,849,178,677.66/211,774.50
  6. Step 6: Final answer
    x = 188,167.97

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1.5x scale

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.