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Finding the Fourth Proportional to 105,640, 145,783.20 and 60,928

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Solution

The fourth proportional to 105,640, 145,783.20 and 60,928 is: 84,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,640 : 145,783.20 = 60,928 : x
  2. Step 2: Convert to fraction form
    105,640/145,783.20 = 60,928/x
  3. Step 3: Cross multiply
    105,640x = 145,783.20 × 60,928
  4. Step 4: Simplify right side
    105,640x = 8,882,278,809.60
  5. Step 5: Solve for x
    x = 8,882,278,809.60/105,640
  6. Step 6: Final answer
    x = 84,080.64

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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.