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Finding the Fourth Proportional to 98,984, 148,104 and 69,459.44

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Solution

The fourth proportional to 98,984, 148,104 and 69,459.44 is: 103,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,984 : 148,104 = 69,459.44 : x
  2. Step 2: Convert to fraction form
    98,984/148,104 = 69,459.44/x
  3. Step 3: Cross multiply
    98,984x = 148,104 × 69,459.44
  4. Step 4: Simplify right side
    98,984x = 10,287,220,901.76
  5. Step 5: Solve for x
    x = 10,287,220,901.76/98,984
  6. Step 6: Final answer
    x = 103,928.12

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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.