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Finding the Fourth Proportional to 102,894.43, 154,347.62 and 39,714.91

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Solution

The fourth proportional to 102,894.43, 154,347.62 and 39,714.91 is: 59,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,894.43 : 154,347.62 = 39,714.91 : x
  2. Step 2: Convert to fraction form
    102,894.43/154,347.62 = 39,714.91/x
  3. Step 3: Cross multiply
    102,894.43x = 154,347.62 × 39,714.91
  4. Step 4: Simplify right side
    102,894.43x = 6,129,901,837.01
  5. Step 5: Solve for x
    x = 6,129,901,837.01/102,894.43
  6. Step 6: Final answer
    x = 59,574.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.