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Finding the Fourth Proportional to 71,474.42, 98,646.50 and 39,653.57

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Solution

The fourth proportional to 71,474.42, 98,646.50 and 39,653.57 is: 54,728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,474.42 : 98,646.50 = 39,653.57 : x
  2. Step 2: Convert to fraction form
    71,474.42/98,646.50 = 39,653.57/x
  3. Step 3: Cross multiply
    71,474.42x = 98,646.50 × 39,653.57
  4. Step 4: Simplify right side
    71,474.42x = 3,911,685,498.91
  5. Step 5: Solve for x
    x = 3,911,685,498.91/71,474.42
  6. Step 6: Final answer
    x = 54,728.47

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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.