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Finding the Fourth Proportional to 105,033.78, 144,946.58 and 57,287.12

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Solution

The fourth proportional to 105,033.78, 144,946.58 and 57,287.12 is: 79,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,033.78 : 144,946.58 = 57,287.12 : x
  2. Step 2: Convert to fraction form
    105,033.78/144,946.58 = 57,287.12/x
  3. Step 3: Cross multiply
    105,033.78x = 144,946.58 × 57,287.12
  4. Step 4: Simplify right side
    105,033.78x = 8,303,572,122.05
  5. Step 5: Solve for x
    x = 8,303,572,122.05/105,033.78
  6. Step 6: Final answer
    x = 79,056.21

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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.