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Finding the Fourth Proportional to 65,903.45, 90,946.31 and 35,688.08

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Solution

The fourth proportional to 65,903.45, 90,946.31 and 35,688.08 is: 49,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,903.45 : 90,946.31 = 35,688.08 : x
  2. Step 2: Convert to fraction form
    65,903.45/90,946.31 = 35,688.08/x
  3. Step 3: Cross multiply
    65,903.45x = 90,946.31 × 35,688.08
  4. Step 4: Simplify right side
    65,903.45x = 3,245,699,271.12
  5. Step 5: Solve for x
    x = 3,245,699,271.12/65,903.45
  6. Step 6: Final answer
    x = 49,249.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.