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Finding the Fourth Proportional to 70,606.50, 97,458.84 and 45,456

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Solution

The fourth proportional to 70,606.50, 97,458.84 and 45,456 is: 62,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,606.50 : 97,458.84 = 45,456 : x
  2. Step 2: Convert to fraction form
    70,606.50/97,458.84 = 45,456/x
  3. Step 3: Cross multiply
    70,606.50x = 97,458.84 × 45,456
  4. Step 4: Simplify right side
    70,606.50x = 4,430,089,031.04
  5. Step 5: Solve for x
    x = 4,430,089,031.04/70,606.50
  6. Step 6: Final answer
    x = 62,743.36

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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.