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Finding the Fourth Proportional to 102,598.34, 141,644.57 and 78,207.83

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Solution

The fourth proportional to 102,598.34, 141,644.57 and 78,207.83 is: 107,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,598.34 : 141,644.57 = 78,207.83 : x
  2. Step 2: Convert to fraction form
    102,598.34/141,644.57 = 78,207.83/x
  3. Step 3: Cross multiply
    102,598.34x = 141,644.57 × 78,207.83
  4. Step 4: Simplify right side
    102,598.34x = 11,077,714,450.98
  5. Step 5: Solve for x
    x = 11,077,714,450.98/102,598.34
  6. Step 6: Final answer
    x = 107,971.67

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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.