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Finding the Fourth Proportional to 211,381.82, 291,860 and 136,061.54

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Solution

The fourth proportional to 211,381.82, 291,860 and 136,061.54 is: 187,863.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,381.82 : 291,860 = 136,061.54 : x
  2. Step 2: Convert to fraction form
    211,381.82/291,860 = 136,061.54/x
  3. Step 3: Cross multiply
    211,381.82x = 291,860 × 136,061.54
  4. Step 4: Simplify right side
    211,381.82x = 39,710,921,064.40
  5. Step 5: Solve for x
    x = 39,710,921,064.40/211,381.82
  6. Step 6: Final answer
    x = 187,863.46

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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.