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Finding the Fourth Proportional to 342,152.33, 513,195.51 and 105,431.45

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Solution

The fourth proportional to 342,152.33, 513,195.51 and 105,431.45 is: 158,137.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,152.33 : 513,195.51 = 105,431.45 : x
  2. Step 2: Convert to fraction form
    342,152.33/513,195.51 = 105,431.45/x
  3. Step 3: Cross multiply
    342,152.33x = 513,195.51 × 105,431.45
  4. Step 4: Simplify right side
    342,152.33x = 54,106,946,752.79
  5. Step 5: Solve for x
    x = 54,106,946,752.79/342,152.33
  6. Step 6: Final answer
    x = 158,137.01

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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.