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Finding the Fourth Proportional to 98,492.86, 147,760.88 and 31,939.72

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Solution

The fourth proportional to 98,492.86, 147,760.88 and 31,939.72 is: 47,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,492.86 : 147,760.88 = 31,939.72 : x
  2. Step 2: Convert to fraction form
    98,492.86/147,760.88 = 31,939.72/x
  3. Step 3: Cross multiply
    98,492.86x = 147,760.88 × 31,939.72
  4. Step 4: Simplify right side
    98,492.86x = 4,719,440,395.35
  5. Step 5: Solve for x
    x = 4,719,440,395.35/98,492.86
  6. Step 6: Final answer
    x = 47,916.58

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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.