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Finding the Fourth Proportional to 75,728.94, 104,523.76 and 47,070.26

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Solution

The fourth proportional to 75,728.94, 104,523.76 and 47,070.26 is: 64,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,728.94 : 104,523.76 = 47,070.26 : x
  2. Step 2: Convert to fraction form
    75,728.94/104,523.76 = 47,070.26/x
  3. Step 3: Cross multiply
    75,728.94x = 104,523.76 × 47,070.26
  4. Step 4: Simplify right side
    75,728.94x = 4,919,960,559.38
  5. Step 5: Solve for x
    x = 4,919,960,559.38/75,728.94
  6. Step 6: Final answer
    x = 64,968.04

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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.