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Finding the Fourth Proportional to 316,128.74, 474,201.75 and 105,759.14

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Solution

The fourth proportional to 316,128.74, 474,201.75 and 105,759.14 is: 158,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,128.74 : 474,201.75 = 105,759.14 : x
  2. Step 2: Convert to fraction form
    316,128.74/474,201.75 = 105,759.14/x
  3. Step 3: Cross multiply
    316,128.74x = 474,201.75 × 105,759.14
  4. Step 4: Simplify right side
    316,128.74x = 50,151,169,266.50
  5. Step 5: Solve for x
    x = 50,151,169,266.50/316,128.74
  6. Step 6: Final answer
    x = 158,641.60

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Why These Related Problems?

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