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Finding the Fourth Proportional to 102,688, 141,709.44 and 55,584

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Solution

The fourth proportional to 102,688, 141,709.44 and 55,584 is: 76,705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,688 : 141,709.44 = 55,584 : x
  2. Step 2: Convert to fraction form
    102,688/141,709.44 = 55,584/x
  3. Step 3: Cross multiply
    102,688x = 141,709.44 × 55,584
  4. Step 4: Simplify right side
    102,688x = 7,876,777,512.96
  5. Step 5: Solve for x
    x = 7,876,777,512.96/102,688
  6. Step 6: Final answer
    x = 76,705.92

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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.