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Finding the Fourth Proportional to 98,580.72, 147,976.32 and 42,448.62

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Solution

The fourth proportional to 98,580.72, 147,976.32 and 42,448.62 is: 63,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,580.72 : 147,976.32 = 42,448.62 : x
  2. Step 2: Convert to fraction form
    98,580.72/147,976.32 = 42,448.62/x
  3. Step 3: Cross multiply
    98,580.72x = 147,976.32 × 42,448.62
  4. Step 4: Simplify right side
    98,580.72x = 6,281,390,576.68
  5. Step 5: Solve for x
    x = 6,281,390,576.68/98,580.72
  6. Step 6: Final answer
    x = 63,718.25

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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.