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Finding the Fourth Proportional to 70,632, 97,392 and 45,104.64

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Solution

The fourth proportional to 70,632, 97,392 and 45,104.64 is: 62,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,632 : 97,392 = 45,104.64 : x
  2. Step 2: Convert to fraction form
    70,632/97,392 = 45,104.64/x
  3. Step 3: Cross multiply
    70,632x = 97,392 × 45,104.64
  4. Step 4: Simplify right side
    70,632x = 4,392,831,098.88
  5. Step 5: Solve for x
    x = 4,392,831,098.88/70,632
  6. Step 6: Final answer
    x = 62,193.21

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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.