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Finding the Fourth Proportional to 102,994.90, 154,492.35 and 40,657.30

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Solution

The fourth proportional to 102,994.90, 154,492.35 and 40,657.30 is: 60,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,994.90 : 154,492.35 = 40,657.30 : x
  2. Step 2: Convert to fraction form
    102,994.90/154,492.35 = 40,657.30/x
  3. Step 3: Cross multiply
    102,994.90x = 154,492.35 × 40,657.30
  4. Step 4: Simplify right side
    102,994.90x = 6,281,241,821.66
  5. Step 5: Solve for x
    x = 6,281,241,821.66/102,994.90
  6. Step 6: Final answer
    x = 60,985.95

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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.