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Finding the Fourth Proportional to 148,657.78, 205,012.10 and 97,650.05

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Solution

The fourth proportional to 148,657.78, 205,012.10 and 97,650.05 is: 134,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,657.78 : 205,012.10 = 97,650.05 : x
  2. Step 2: Convert to fraction form
    148,657.78/205,012.10 = 97,650.05/x
  3. Step 3: Cross multiply
    148,657.78x = 205,012.10 × 97,650.05
  4. Step 4: Simplify right side
    148,657.78x = 20,019,441,327.35
  5. Step 5: Solve for x
    x = 20,019,441,327.35/148,657.78
  6. Step 6: Final answer
    x = 134,667.97

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1.5x scale

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.