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Finding the Fourth Proportional to 102,802.67, 154,033.14 and 98,915.28

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Solution

The fourth proportional to 102,802.67, 154,033.14 and 98,915.28 is: 148,208.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,802.67 : 154,033.14 = 98,915.28 : x
  2. Step 2: Convert to fraction form
    102,802.67/154,033.14 = 98,915.28/x
  3. Step 3: Cross multiply
    102,802.67x = 154,033.14 × 98,915.28
  4. Step 4: Simplify right side
    102,802.67x = 15,236,230,965.69
  5. Step 5: Solve for x
    x = 15,236,230,965.69/102,802.67
  6. Step 6: Final answer
    x = 148,208.52

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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.