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Finding the Fourth Proportional to 98,343.81, 147,511.89 and 28,223.10

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Solution

The fourth proportional to 98,343.81, 147,511.89 and 28,223.10 is: 42,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,343.81 : 147,511.89 = 28,223.10 : x
  2. Step 2: Convert to fraction form
    98,343.81/147,511.89 = 28,223.10/x
  3. Step 3: Cross multiply
    98,343.81x = 147,511.89 × 28,223.10
  4. Step 4: Simplify right side
    98,343.81x = 4,163,242,822.66
  5. Step 5: Solve for x
    x = 4,163,242,822.66/98,343.81
  6. Step 6: Final answer
    x = 42,333.55

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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.