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Finding the Fourth Proportional to 342,005.87, 513,063.93 and 105,348.32

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Solution

The fourth proportional to 342,005.87, 513,063.93 and 105,348.32 is: 158,039.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,005.87 : 513,063.93 = 105,348.32 : x
  2. Step 2: Convert to fraction form
    342,005.87/513,063.93 = 105,348.32/x
  3. Step 3: Cross multiply
    342,005.87x = 513,063.93 × 105,348.32
  4. Step 4: Simplify right side
    342,005.87x = 54,050,423,078.10
  5. Step 5: Solve for x
    x = 54,050,423,078.10/342,005.87
  6. Step 6: Final answer
    x = 158,039.46

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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.