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Finding the Fourth Proportional to 105,415.68, 145,473.12 and 57,668.16

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Solution

The fourth proportional to 105,415.68, 145,473.12 and 57,668.16 is: 79,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,415.68 : 145,473.12 = 57,668.16 : x
  2. Step 2: Convert to fraction form
    105,415.68/145,473.12 = 57,668.16/x
  3. Step 3: Cross multiply
    105,415.68x = 145,473.12 × 57,668.16
  4. Step 4: Simplify right side
    105,415.68x = 8,389,167,159.86
  5. Step 5: Solve for x
    x = 8,389,167,159.86/105,415.68
  6. Step 6: Final answer
    x = 79,581.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.