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Finding the Fourth Proportional to 98,578.85, 147,813.60 and 42,409.40

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Solution

The fourth proportional to 98,578.85, 147,813.60 and 42,409.40 is: 63,590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,578.85 : 147,813.60 = 42,409.40 : x
  2. Step 2: Convert to fraction form
    98,578.85/147,813.60 = 42,409.40/x
  3. Step 3: Cross multiply
    98,578.85x = 147,813.60 × 42,409.40
  4. Step 4: Simplify right side
    98,578.85x = 6,268,686,087.84
  5. Step 5: Solve for x
    x = 6,268,686,087.84/98,578.85
  6. Step 6: Final answer
    x = 63,590.58

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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.