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Finding the Fourth Proportional to 342,098.80, 513,148.20 and 105,420.40

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Solution

The fourth proportional to 342,098.80, 513,148.20 and 105,420.40 is: 158,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,098.80 : 513,148.20 = 105,420.40 : x
  2. Step 2: Convert to fraction form
    342,098.80/513,148.20 = 105,420.40/x
  3. Step 3: Cross multiply
    342,098.80x = 513,148.20 × 105,420.40
  4. Step 4: Simplify right side
    342,098.80x = 54,096,288,503.28
  5. Step 5: Solve for x
    x = 54,096,288,503.28/342,098.80
  6. Step 6: Final answer
    x = 158,130.60

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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.