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Finding the Fourth Proportional to 187,885.83, 259,281.90 and 103,002.96

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Solution

The fourth proportional to 187,885.83, 259,281.90 and 103,002.96 is: 142,143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,885.83 : 259,281.90 = 103,002.96 : x
  2. Step 2: Convert to fraction form
    187,885.83/259,281.90 = 103,002.96/x
  3. Step 3: Cross multiply
    187,885.83x = 259,281.90 × 103,002.96
  4. Step 4: Simplify right side
    187,885.83x = 26,706,803,174.42
  5. Step 5: Solve for x
    x = 26,706,803,174.42/187,885.83
  6. Step 6: Final answer
    x = 142,143.79

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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.