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Finding the Fourth Proportional to 102,211.56, 141,050.34 and 56,889

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Solution

The fourth proportional to 102,211.56, 141,050.34 and 56,889 is: 78,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,211.56 : 141,050.34 = 56,889 : x
  2. Step 2: Convert to fraction form
    102,211.56/141,050.34 = 56,889/x
  3. Step 3: Cross multiply
    102,211.56x = 141,050.34 × 56,889
  4. Step 4: Simplify right side
    102,211.56x = 8,024,212,792.26
  5. Step 5: Solve for x
    x = 8,024,212,792.26/102,211.56
  6. Step 6: Final answer
    x = 78,505.92

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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.