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Finding the Fourth Proportional to 95,720, 143,585.76 and 30,056

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Solution

The fourth proportional to 95,720, 143,585.76 and 30,056 is: 45,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,720 : 143,585.76 = 30,056 : x
  2. Step 2: Convert to fraction form
    95,720/143,585.76 = 30,056/x
  3. Step 3: Cross multiply
    95,720x = 143,585.76 × 30,056
  4. Step 4: Simplify right side
    95,720x = 4,315,613,602.56
  5. Step 5: Solve for x
    x = 4,315,613,602.56/95,720
  6. Step 6: Final answer
    x = 45,085.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.