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Finding the Fourth Proportional to 201,970.65, 278,721.45 and 111,330.12

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Solution

The fourth proportional to 201,970.65, 278,721.45 and 111,330.12 is: 153,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,970.65 : 278,721.45 = 111,330.12 : x
  2. Step 2: Convert to fraction form
    201,970.65/278,721.45 = 111,330.12/x
  3. Step 3: Cross multiply
    201,970.65x = 278,721.45 × 111,330.12
  4. Step 4: Simplify right side
    201,970.65x = 31,030,092,475.07
  5. Step 5: Solve for x
    x = 31,030,092,475.07/201,970.65
  6. Step 6: Final answer
    x = 153,636.64

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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.