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Finding the Fourth Proportional to 102,809.60, 154,444.80 and 98,611.20

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Solution

The fourth proportional to 102,809.60, 154,444.80 and 98,611.20 is: 148,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,809.60 : 154,444.80 = 98,611.20 : x
  2. Step 2: Convert to fraction form
    102,809.60/154,444.80 = 98,611.20/x
  3. Step 3: Cross multiply
    102,809.60x = 154,444.80 × 98,611.20
  4. Step 4: Simplify right side
    102,809.60x = 15,229,987,061.76
  5. Step 5: Solve for x
    x = 15,229,987,061.76/102,809.60
  6. Step 6: Final answer
    x = 148,137.79

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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.