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Finding the Fourth Proportional to 135,903.86, 187,540.98 and 75,478.40

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Solution

The fourth proportional to 135,903.86, 187,540.98 and 75,478.40 is: 104,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,903.86 : 187,540.98 = 75,478.40 : x
  2. Step 2: Convert to fraction form
    135,903.86/187,540.98 = 75,478.40/x
  3. Step 3: Cross multiply
    135,903.86x = 187,540.98 × 75,478.40
  4. Step 4: Simplify right side
    135,903.86x = 14,155,293,104.83
  5. Step 5: Solve for x
    x = 14,155,293,104.83/135,903.86
  6. Step 6: Final answer
    x = 104,156.67

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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.