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Finding the Fourth Proportional to 105,668.13, 145,836.93 and 65,394.86

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Solution

The fourth proportional to 105,668.13, 145,836.93 and 65,394.86 is: 90,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,668.13 : 145,836.93 = 65,394.86 : x
  2. Step 2: Convert to fraction form
    105,668.13/145,836.93 = 65,394.86/x
  3. Step 3: Cross multiply
    105,668.13x = 145,836.93 × 65,394.86
  4. Step 4: Simplify right side
    105,668.13x = 9,536,985,255.59
  5. Step 5: Solve for x
    x = 9,536,985,255.59/105,668.13
  6. Step 6: Final answer
    x = 90,254.14

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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.