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Finding the Fourth Proportional to 98,433.50, 147,671.78 and 31,880.35

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Solution

The fourth proportional to 98,433.50, 147,671.78 and 31,880.35 is: 47,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,433.50 : 147,671.78 = 31,880.35 : x
  2. Step 2: Convert to fraction form
    98,433.50/147,671.78 = 31,880.35/x
  3. Step 3: Cross multiply
    98,433.50x = 147,671.78 × 31,880.35
  4. Step 4: Simplify right side
    98,433.50x = 4,707,828,031.52
  5. Step 5: Solve for x
    x = 4,707,828,031.52/98,433.50
  6. Step 6: Final answer
    x = 47,827.50

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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.