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Finding the Fourth Proportional to 74,715.36, 102,965.40 and 53,457.60

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Solution

The fourth proportional to 74,715.36, 102,965.40 and 53,457.60 is: 73,670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,715.36 : 102,965.40 = 53,457.60 : x
  2. Step 2: Convert to fraction form
    74,715.36/102,965.40 = 53,457.60/x
  3. Step 3: Cross multiply
    74,715.36x = 102,965.40 × 53,457.60
  4. Step 4: Simplify right side
    74,715.36x = 5,504,283,167.04
  5. Step 5: Solve for x
    x = 5,504,283,167.04/74,715.36
  6. Step 6: Final answer
    x = 73,670.03

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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.