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Finding the Fourth Proportional to 136,938.84, 205,408.21 and 51,565.76

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Solution

The fourth proportional to 136,938.84, 205,408.21 and 51,565.76 is: 77,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,938.84 : 205,408.21 = 51,565.76 : x
  2. Step 2: Convert to fraction form
    136,938.84/205,408.21 = 51,565.76/x
  3. Step 3: Cross multiply
    136,938.84x = 205,408.21 × 51,565.76
  4. Step 4: Simplify right side
    136,938.84x = 10,592,030,458.89
  5. Step 5: Solve for x
    x = 10,592,030,458.89/136,938.84
  6. Step 6: Final answer
    x = 77,348.62

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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.