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Finding the Fourth Proportional to 70,580.72, 97,409.14 and 40,368.80

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Solution

The fourth proportional to 70,580.72, 97,409.14 and 40,368.80 is: 55,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,580.72 : 97,409.14 = 40,368.80 : x
  2. Step 2: Convert to fraction form
    70,580.72/97,409.14 = 40,368.80/x
  3. Step 3: Cross multiply
    70,580.72x = 97,409.14 × 40,368.80
  4. Step 4: Simplify right side
    70,580.72x = 3,932,290,090.83
  5. Step 5: Solve for x
    x = 3,932,290,090.83/70,580.72
  6. Step 6: Final answer
    x = 55,713.37

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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.