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Finding the Fourth Proportional to 342,007.12, 513,065.81 and 105,349.57

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Solution

The fourth proportional to 342,007.12, 513,065.81 and 105,349.57 is: 158,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,007.12 : 513,065.81 = 105,349.57 : x
  2. Step 2: Convert to fraction form
    342,007.12/513,065.81 = 105,349.57/x
  3. Step 3: Cross multiply
    342,007.12x = 513,065.81 × 105,349.57
  4. Step 4: Simplify right side
    342,007.12x = 54,051,262,465.20
  5. Step 5: Solve for x
    x = 54,051,262,465.20/342,007.12
  6. Step 6: Final answer
    x = 158,041.34

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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.