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Finding the Fourth Proportional to 143,986.29, 215,978.52 and 77,457.75

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Solution

The fourth proportional to 143,986.29, 215,978.52 and 77,457.75 is: 116,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,986.29 : 215,978.52 = 77,457.75 : x
  2. Step 2: Convert to fraction form
    143,986.29/215,978.52 = 77,457.75/x
  3. Step 3: Cross multiply
    143,986.29x = 215,978.52 × 77,457.75
  4. Step 4: Simplify right side
    143,986.29x = 16,729,210,207.53
  5. Step 5: Solve for x
    x = 16,729,210,207.53/143,986.29
  6. Step 6: Final answer
    x = 116,186.13

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