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Finding the Fourth Proportional to 105,114.92, 157,657.50 and 30,241.40

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Solution

The fourth proportional to 105,114.92, 157,657.50 and 30,241.40 is: 45,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,114.92 : 157,657.50 = 30,241.40 : x
  2. Step 2: Convert to fraction form
    105,114.92/157,657.50 = 30,241.40/x
  3. Step 3: Cross multiply
    105,114.92x = 157,657.50 × 30,241.40
  4. Step 4: Simplify right side
    105,114.92x = 4,767,783,520.50
  5. Step 5: Solve for x
    x = 4,767,783,520.50/105,114.92
  6. Step 6: Final answer
    x = 45,357.82

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1.5x scale

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.