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Finding the Fourth Proportional to 260,130, 358,979.40 and 140,898

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Solution

The fourth proportional to 260,130, 358,979.40 and 140,898 is: 194,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,130 : 358,979.40 = 140,898 : x
  2. Step 2: Convert to fraction form
    260,130/358,979.40 = 140,898/x
  3. Step 3: Cross multiply
    260,130x = 358,979.40 × 140,898
  4. Step 4: Simplify right side
    260,130x = 50,579,479,501.20
  5. Step 5: Solve for x
    x = 50,579,479,501.20/260,130
  6. Step 6: Final answer
    x = 194,439.24

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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.