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Finding the Fourth Proportional to 105,438.64, 145,668.77 and 88,412.85

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Solution

The fourth proportional to 105,438.64, 145,668.77 and 88,412.85 is: 122,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,438.64 : 145,668.77 = 88,412.85 : x
  2. Step 2: Convert to fraction form
    105,438.64/145,668.77 = 88,412.85/x
  3. Step 3: Cross multiply
    105,438.64x = 145,668.77 × 88,412.85
  4. Step 4: Simplify right side
    105,438.64x = 12,878,991,111.69
  5. Step 5: Solve for x
    x = 12,878,991,111.69/105,438.64
  6. Step 6: Final answer
    x = 122,146.79

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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.