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Finding the Fourth Proportional to 342,005.70, 513,008.55 and 105,420.90

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Solution

The fourth proportional to 342,005.70, 513,008.55 and 105,420.90 is: 158,131.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,005.70 : 513,008.55 = 105,420.90 : x
  2. Step 2: Convert to fraction form
    342,005.70/513,008.55 = 105,420.90/x
  3. Step 3: Cross multiply
    342,005.70x = 513,008.55 × 105,420.90
  4. Step 4: Simplify right side
    342,005.70x = 54,081,823,048.70
  5. Step 5: Solve for x
    x = 54,081,823,048.70/342,005.70
  6. Step 6: Final answer
    x = 158,131.35

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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.