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Finding the Fourth Proportional to 98,426.26, 147,662.80 and 31,866.40

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Solution

The fourth proportional to 98,426.26, 147,662.80 and 31,866.40 is: 47,807.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,426.26 : 147,662.80 = 31,866.40 : x
  2. Step 2: Convert to fraction form
    98,426.26/147,662.80 = 31,866.40/x
  3. Step 3: Cross multiply
    98,426.26x = 147,662.80 × 31,866.40
  4. Step 4: Simplify right side
    98,426.26x = 4,705,481,849.92
  5. Step 5: Solve for x
    x = 4,705,481,849.92/98,426.26
  6. Step 6: Final answer
    x = 47,807.18

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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.