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Finding the Fourth Proportional to 201,653.16, 278,271.78 and 111,007.24

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Solution

The fourth proportional to 201,653.16, 278,271.78 and 111,007.24 is: 153,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,653.16 : 278,271.78 = 111,007.24 : x
  2. Step 2: Convert to fraction form
    201,653.16/278,271.78 = 111,007.24/x
  3. Step 3: Cross multiply
    201,653.16x = 278,271.78 × 111,007.24
  4. Step 4: Simplify right side
    201,653.16x = 30,890,182,267.69
  5. Step 5: Solve for x
    x = 30,890,182,267.69/201,653.16
  6. Step 6: Final answer
    x = 153,184.72

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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.