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Finding the Fourth Proportional to 65,703.84, 90,671.30 and 35,895.84

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Solution

The fourth proportional to 65,703.84, 90,671.30 and 35,895.84 is: 49,536.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,703.84 : 90,671.30 = 35,895.84 : x
  2. Step 2: Convert to fraction form
    65,703.84/90,671.30 = 35,895.84/x
  3. Step 3: Cross multiply
    65,703.84x = 90,671.30 × 35,895.84
  4. Step 4: Simplify right side
    65,703.84x = 3,254,722,477.39
  5. Step 5: Solve for x
    x = 3,254,722,477.39/65,703.84
  6. Step 6: Final answer
    x = 49,536.26

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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.