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Finding the Fourth Proportional to 98,964, 148,074 and 69,439.44

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Solution

The fourth proportional to 98,964, 148,074 and 69,439.44 is: 103,898.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,964 : 148,074 = 69,439.44 : x
  2. Step 2: Convert to fraction form
    98,964/148,074 = 69,439.44/x
  3. Step 3: Cross multiply
    98,964x = 148,074 × 69,439.44
  4. Step 4: Simplify right side
    98,964x = 10,282,175,638.56
  5. Step 5: Solve for x
    x = 10,282,175,638.56/98,964
  6. Step 6: Final answer
    x = 103,898.14

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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.