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Finding the Fourth Proportional to 342,079.02, 513,118.51 and 105,421.70

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Solution

The fourth proportional to 342,079.02, 513,118.51 and 105,421.70 is: 158,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,079.02 : 513,118.51 = 105,421.70 : x
  2. Step 2: Convert to fraction form
    342,079.02/513,118.51 = 105,421.70/x
  3. Step 3: Cross multiply
    342,079.02x = 513,118.51 × 105,421.70
  4. Step 4: Simplify right side
    342,079.02x = 54,093,825,625.67
  5. Step 5: Solve for x
    x = 54,093,825,625.67/342,079.02
  6. Step 6: Final answer
    x = 158,132.54

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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.