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Finding the Fourth Proportional to 117,140.30, 161,650.64 and 65,457.84

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Solution

The fourth proportional to 117,140.30, 161,650.64 and 65,457.84 is: 90,330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,140.30 : 161,650.64 = 65,457.84 : x
  2. Step 2: Convert to fraction form
    117,140.30/161,650.64 = 65,457.84/x
  3. Step 3: Cross multiply
    117,140.30x = 161,650.64 × 65,457.84
  4. Step 4: Simplify right side
    117,140.30x = 10,581,301,729.02
  5. Step 5: Solve for x
    x = 10,581,301,729.02/117,140.30
  6. Step 6: Final answer
    x = 90,330.16

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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.