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Finding the Fourth Proportional to 102,690, 141,712.20 and 55,586

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Solution

The fourth proportional to 102,690, 141,712.20 and 55,586 is: 76,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,690 : 141,712.20 = 55,586 : x
  2. Step 2: Convert to fraction form
    102,690/141,712.20 = 55,586/x
  3. Step 3: Cross multiply
    102,690x = 141,712.20 × 55,586
  4. Step 4: Simplify right side
    102,690x = 7,877,214,349.20
  5. Step 5: Solve for x
    x = 7,877,214,349.20/102,690
  6. Step 6: Final answer
    x = 76,708.68

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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.