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Finding the Fourth Proportional to 70,512, 97,309.44 and 40,704

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Solution

The fourth proportional to 70,512, 97,309.44 and 40,704 is: 56,173.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,512 : 97,309.44 = 40,704 : x
  2. Step 2: Convert to fraction form
    70,512/97,309.44 = 40,704/x
  3. Step 3: Cross multiply
    70,512x = 97,309.44 × 40,704
  4. Step 4: Simplify right side
    70,512x = 3,960,883,445.76
  5. Step 5: Solve for x
    x = 3,960,883,445.76/70,512
  6. Step 6: Final answer
    x = 56,173.18

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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.