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Finding the Fourth Proportional to 98,185, 147,274.26 and 31,628.92

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Solution

The fourth proportional to 98,185, 147,274.26 and 31,628.92 is: 47,442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,185 : 147,274.26 = 31,628.92 : x
  2. Step 2: Convert to fraction form
    98,185/147,274.26 = 31,628.92/x
  3. Step 3: Cross multiply
    98,185x = 147,274.26 × 31,628.92
  4. Step 4: Simplify right side
    98,185x = 4,658,125,787.60
  5. Step 5: Solve for x
    x = 4,658,125,787.60/98,185
  6. Step 6: Final answer
    x = 47,442.34

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1.5x scale

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.