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Finding the Fourth Proportional to 70,678.66, 106,012.80 and 20,762.66

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Solution

The fourth proportional to 70,678.66, 106,012.80 and 20,762.66 is: 31,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,678.66 : 106,012.80 = 20,762.66 : x
  2. Step 2: Convert to fraction form
    70,678.66/106,012.80 = 20,762.66/x
  3. Step 3: Cross multiply
    70,678.66x = 106,012.80 × 20,762.66
  4. Step 4: Simplify right side
    70,678.66x = 2,201,107,829.15
  5. Step 5: Solve for x
    x = 2,201,107,829.15/70,678.66
  6. Step 6: Final answer
    x = 31,142.47

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1.5x scale

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.