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Finding the Fourth Proportional to 68,345.60, 102,518.40 and 31,409.60

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Solution

The fourth proportional to 68,345.60, 102,518.40 and 31,409.60 is: 47,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,345.60 : 102,518.40 = 31,409.60 : x
  2. Step 2: Convert to fraction form
    68,345.60/102,518.40 = 31,409.60/x
  3. Step 3: Cross multiply
    68,345.60x = 102,518.40 × 31,409.60
  4. Step 4: Simplify right side
    68,345.60x = 3,220,061,936.64
  5. Step 5: Solve for x
    x = 3,220,061,936.64/68,345.60
  6. Step 6: Final answer
    x = 47,114.40

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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.