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Finding the Fourth Proportional to 201,988.50, 278,746.04 and 111,347.72

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Solution

The fourth proportional to 201,988.50, 278,746.04 and 111,347.72 is: 153,660.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,988.50 : 278,746.04 = 111,347.72 : x
  2. Step 2: Convert to fraction form
    201,988.50/278,746.04 = 111,347.72/x
  3. Step 3: Cross multiply
    201,988.50x = 278,746.04 × 111,347.72
  4. Step 4: Simplify right side
    201,988.50x = 31,037,736,013.03
  5. Step 5: Solve for x
    x = 31,037,736,013.03/201,988.50
  6. Step 6: Final answer
    x = 153,660.91

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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.