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Finding the Fourth Proportional to 65,083, 89,814.60 and 35,275

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Solution

The fourth proportional to 65,083, 89,814.60 and 35,275 is: 48,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,083 : 89,814.60 = 35,275 : x
  2. Step 2: Convert to fraction form
    65,083/89,814.60 = 35,275/x
  3. Step 3: Cross multiply
    65,083x = 89,814.60 × 35,275
  4. Step 4: Simplify right side
    65,083x = 3,168,210,015
  5. Step 5: Solve for x
    x = 3,168,210,015/65,083
  6. Step 6: Final answer
    x = 48,679.53

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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.