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Finding the Fourth Proportional to 71,005.44, 97,984.80 and 40,792.80

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Solution

The fourth proportional to 71,005.44, 97,984.80 and 40,792.80 is: 56,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,005.44 : 97,984.80 = 40,792.80 : x
  2. Step 2: Convert to fraction form
    71,005.44/97,984.80 = 40,792.80/x
  3. Step 3: Cross multiply
    71,005.44x = 97,984.80 × 40,792.80
  4. Step 4: Simplify right side
    71,005.44x = 3,997,074,349.44
  5. Step 5: Solve for x
    x = 3,997,074,349.44/71,005.44
  6. Step 6: Final answer
    x = 56,292.51

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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.