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Finding the Fourth Proportional to 98,447.01, 147,688.74 and 31,880.40

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Solution

The fourth proportional to 98,447.01, 147,688.74 and 31,880.40 is: 47,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,447.01 : 147,688.74 = 31,880.40 : x
  2. Step 2: Convert to fraction form
    98,447.01/147,688.74 = 31,880.40/x
  3. Step 3: Cross multiply
    98,447.01x = 147,688.74 × 31,880.40
  4. Step 4: Simplify right side
    98,447.01x = 4,708,376,106.70
  5. Step 5: Solve for x
    x = 4,708,376,106.70/98,447.01
  6. Step 6: Final answer
    x = 47,826.50

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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.