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Finding the Fourth Proportional to 105,034.34, 144,947.31 and 57,287.54

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Solution

The fourth proportional to 105,034.34, 144,947.31 and 57,287.54 is: 79,056.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,034.34 : 144,947.31 = 57,287.54 : x
  2. Step 2: Convert to fraction form
    105,034.34/144,947.31 = 57,287.54/x
  3. Step 3: Cross multiply
    105,034.34x = 144,947.31 × 57,287.54
  4. Step 4: Simplify right side
    105,034.34x = 8,303,674,967.06
  5. Step 5: Solve for x
    x = 8,303,674,967.06/105,034.34
  6. Step 6: Final answer
    x = 79,056.76

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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.