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Finding the Fourth Proportional to 105,164.34, 145,125.69 and 57,417.54

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Solution

The fourth proportional to 105,164.34, 145,125.69 and 57,417.54 is: 79,235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,164.34 : 145,125.69 = 57,417.54 : x
  2. Step 2: Convert to fraction form
    105,164.34/145,125.69 = 57,417.54/x
  3. Step 3: Cross multiply
    105,164.34x = 145,125.69 × 57,417.54
  4. Step 4: Simplify right side
    105,164.34x = 8,332,760,110.60
  5. Step 5: Solve for x
    x = 8,332,760,110.60/105,164.34
  6. Step 6: Final answer
    x = 79,235.61

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1.5x scale

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.