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Finding the Fourth Proportional to 98,674.92, 147,907.26 and 70,509.60

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Solution

The fourth proportional to 98,674.92, 147,907.26 and 70,509.60 is: 105,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,674.92 : 147,907.26 = 70,509.60 : x
  2. Step 2: Convert to fraction form
    98,674.92/147,907.26 = 70,509.60/x
  3. Step 3: Cross multiply
    98,674.92x = 147,907.26 × 70,509.60
  4. Step 4: Simplify right side
    98,674.92x = 10,428,881,739.70
  5. Step 5: Solve for x
    x = 10,428,881,739.70/98,674.92
  6. Step 6: Final answer
    x = 105,689.28

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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.