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Finding the Fourth Proportional to 69,840, 96,369.48 and 42,986.88

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Solution

The fourth proportional to 69,840, 96,369.48 and 42,986.88 is: 59,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,840 : 96,369.48 = 42,986.88 : x
  2. Step 2: Convert to fraction form
    69,840/96,369.48 = 42,986.88/x
  3. Step 3: Cross multiply
    69,840x = 96,369.48 × 42,986.88
  4. Step 4: Simplify right side
    69,840x = 4,142,623,272.42
  5. Step 5: Solve for x
    x = 4,142,623,272.42/69,840
  6. Step 6: Final answer
    x = 59,315.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.