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Finding the Fourth Proportional to 98,139.70, 147,137.55 and 38,946.10

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Solution

The fourth proportional to 98,139.70, 147,137.55 and 38,946.10 is: 58,390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,139.70 : 147,137.55 = 38,946.10 : x
  2. Step 2: Convert to fraction form
    98,139.70/147,137.55 = 38,946.10/x
  3. Step 3: Cross multiply
    98,139.70x = 147,137.55 × 38,946.10
  4. Step 4: Simplify right side
    98,139.70x = 5,730,433,736.06
  5. Step 5: Solve for x
    x = 5,730,433,736.06/98,139.70
  6. Step 6: Final answer
    x = 58,390.58

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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.