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Finding the Fourth Proportional to 98,632.09, 147,970.01 and 28,506.07

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Solution

The fourth proportional to 98,632.09, 147,970.01 and 28,506.07 is: 42,765.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,632.09 : 147,970.01 = 28,506.07 : x
  2. Step 2: Convert to fraction form
    98,632.09/147,970.01 = 28,506.07/x
  3. Step 3: Cross multiply
    98,632.09x = 147,970.01 × 28,506.07
  4. Step 4: Simplify right side
    98,632.09x = 4,218,043,462.96
  5. Step 5: Solve for x
    x = 4,218,043,462.96/98,632.09
  6. Step 6: Final answer
    x = 42,765.43

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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.