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Finding the Fourth Proportional to 342,162.32, 513,210.46 and 105,441.44

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Solution

The fourth proportional to 342,162.32, 513,210.46 and 105,441.44 is: 158,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,162.32 : 513,210.46 = 105,441.44 : x
  2. Step 2: Convert to fraction form
    342,162.32/513,210.46 = 105,441.44/x
  3. Step 3: Cross multiply
    342,162.32x = 513,210.46 × 105,441.44
  4. Step 4: Simplify right side
    342,162.32x = 54,113,649,925.46
  5. Step 5: Solve for x
    x = 54,113,649,925.46/342,162.32
  6. Step 6: Final answer
    x = 158,151.98

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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.