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Finding the Fourth Proportional to 260,133, 358,983.54 and 140,901

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Solution

The fourth proportional to 260,133, 358,983.54 and 140,901 is: 194,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,133 : 358,983.54 = 140,901 : x
  2. Step 2: Convert to fraction form
    260,133/358,983.54 = 140,901/x
  3. Step 3: Cross multiply
    260,133x = 358,983.54 × 140,901
  4. Step 4: Simplify right side
    260,133x = 50,581,139,769.54
  5. Step 5: Solve for x
    x = 50,581,139,769.54/260,133
  6. Step 6: Final answer
    x = 194,443.38

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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.