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Finding the Fourth Proportional to 342,570.75, 513,905.13 and 105,931.68

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Solution

The fourth proportional to 342,570.75, 513,905.13 and 105,931.68 is: 158,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,570.75 : 513,905.13 = 105,931.68 : x
  2. Step 2: Convert to fraction form
    342,570.75/513,905.13 = 105,931.68/x
  3. Step 3: Cross multiply
    342,570.75x = 513,905.13 × 105,931.68
  4. Step 4: Simplify right side
    342,570.75x = 54,438,833,781.52
  5. Step 5: Solve for x
    x = 54,438,833,781.52/342,570.75
  6. Step 6: Final answer
    x = 158,912.67

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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.