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Finding the Fourth Proportional to 189,136.80, 261,007.13 and 103,095.81

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Solution

The fourth proportional to 189,136.80, 261,007.13 and 103,095.81 is: 142,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,136.80 : 261,007.13 = 103,095.81 : x
  2. Step 2: Convert to fraction form
    189,136.80/261,007.13 = 103,095.81/x
  3. Step 3: Cross multiply
    189,136.80x = 261,007.13 × 103,095.81
  4. Step 4: Simplify right side
    189,136.80x = 26,908,740,967.65
  5. Step 5: Solve for x
    x = 26,908,740,967.65/189,136.80
  6. Step 6: Final answer
    x = 142,271.31

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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.