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Finding the Fourth Proportional to 102,980.40, 154,211.40 and 98,314.80

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Solution

The fourth proportional to 102,980.40, 154,211.40 and 98,314.80 is: 147,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,980.40 : 154,211.40 = 98,314.80 : x
  2. Step 2: Convert to fraction form
    102,980.40/154,211.40 = 98,314.80/x
  3. Step 3: Cross multiply
    102,980.40x = 154,211.40 × 98,314.80
  4. Step 4: Simplify right side
    102,980.40x = 15,161,262,948.72
  5. Step 5: Solve for x
    x = 15,161,262,948.72/102,980.40
  6. Step 6: Final answer
    x = 147,224.74

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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.