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Finding the Fourth Proportional to 98,635.40, 147,880.20 and 54,312.20

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Solution

The fourth proportional to 98,635.40, 147,880.20 and 54,312.20 is: 81,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,635.40 : 147,880.20 = 54,312.20 : x
  2. Step 2: Convert to fraction form
    98,635.40/147,880.20 = 54,312.20/x
  3. Step 3: Cross multiply
    98,635.40x = 147,880.20 × 54,312.20
  4. Step 4: Simplify right side
    98,635.40x = 8,031,698,998.44
  5. Step 5: Solve for x
    x = 8,031,698,998.44/98,635.40
  6. Step 6: Final answer
    x = 81,428.16

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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.