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Finding the Fourth Proportional to 98,021.34, 147,226.41 and 83,975.94

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Solution

The fourth proportional to 98,021.34, 147,226.41 and 83,975.94 is: 126,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,021.34 : 147,226.41 = 83,975.94 : x
  2. Step 2: Convert to fraction form
    98,021.34/147,226.41 = 83,975.94/x
  3. Step 3: Cross multiply
    98,021.34x = 147,226.41 × 83,975.94
  4. Step 4: Simplify right side
    98,021.34x = 12,363,476,172.58
  5. Step 5: Solve for x
    x = 12,363,476,172.58/98,021.34
  6. Step 6: Final answer
    x = 126,130.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.