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Finding the Fourth Proportional to 70,514.80, 105,744.76 and 35,430

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Solution

The fourth proportional to 70,514.80, 105,744.76 and 35,430 is: 53,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,514.80 : 105,744.76 = 35,430 : x
  2. Step 2: Convert to fraction form
    70,514.80/105,744.76 = 35,430/x
  3. Step 3: Cross multiply
    70,514.80x = 105,744.76 × 35,430
  4. Step 4: Simplify right side
    70,514.80x = 3,746,536,846.80
  5. Step 5: Solve for x
    x = 3,746,536,846.80/70,514.80
  6. Step 6: Final answer
    x = 53,131.21

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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.