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Finding the Fourth Proportional to 102,914.80, 154,631.40 and 65,492.80

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Solution

The fourth proportional to 102,914.80, 154,631.40 and 65,492.80 is: 98,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,914.80 : 154,631.40 = 65,492.80 : x
  2. Step 2: Convert to fraction form
    102,914.80/154,631.40 = 65,492.80/x
  3. Step 3: Cross multiply
    102,914.80x = 154,631.40 × 65,492.80
  4. Step 4: Simplify right side
    102,914.80x = 10,127,243,353.92
  5. Step 5: Solve for x
    x = 10,127,243,353.92/102,914.80
  6. Step 6: Final answer
    x = 98,404.15

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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.