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Finding the Fourth Proportional to 342,615.35, 513,988.65 and 105,916.34

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Solution

The fourth proportional to 342,615.35, 513,988.65 and 105,916.34 is: 158,894.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,615.35 : 513,988.65 = 105,916.34 : x
  2. Step 2: Convert to fraction form
    342,615.35/513,988.65 = 105,916.34/x
  3. Step 3: Cross multiply
    342,615.35x = 513,988.65 × 105,916.34
  4. Step 4: Simplify right side
    342,615.35x = 54,439,794,039.60
  5. Step 5: Solve for x
    x = 54,439,794,039.60/342,615.35
  6. Step 6: Final answer
    x = 158,894.79

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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.