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Finding the Fourth Proportional to 102,039.63, 140,806.59 and 56,714.06

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Solution

The fourth proportional to 102,039.63, 140,806.59 and 56,714.06 is: 78,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,039.63 : 140,806.59 = 56,714.06 : x
  2. Step 2: Convert to fraction form
    102,039.63/140,806.59 = 56,714.06/x
  3. Step 3: Cross multiply
    102,039.63x = 140,806.59 × 56,714.06
  4. Step 4: Simplify right side
    102,039.63x = 7,985,712,689.62
  5. Step 5: Solve for x
    x = 7,985,712,689.62/102,039.63
  6. Step 6: Final answer
    x = 78,260.89

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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.