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Finding the Fourth Proportional to 98,520.40, 147,790.86 and 31,957.84

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Solution

The fourth proportional to 98,520.40, 147,790.86 and 31,957.84 is: 47,940.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,520.40 : 147,790.86 = 31,957.84 : x
  2. Step 2: Convert to fraction form
    98,520.40/147,790.86 = 31,957.84/x
  3. Step 3: Cross multiply
    98,520.40x = 147,790.86 × 31,957.84
  4. Step 4: Simplify right side
    98,520.40x = 4,723,076,657.34
  5. Step 5: Solve for x
    x = 4,723,076,657.34/98,520.40
  6. Step 6: Final answer
    x = 47,940.09

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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.