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Finding the Fourth Proportional to 65,796, 90,798.48 and 35,988.64

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Solution

The fourth proportional to 65,796, 90,798.48 and 35,988.64 is: 49,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,796 : 90,798.48 = 35,988.64 : x
  2. Step 2: Convert to fraction form
    65,796/90,798.48 = 35,988.64/x
  3. Step 3: Cross multiply
    65,796x = 90,798.48 × 35,988.64
  4. Step 4: Simplify right side
    65,796x = 3,267,713,809.27
  5. Step 5: Solve for x
    x = 3,267,713,809.27/65,796
  6. Step 6: Final answer
    x = 49,664.32

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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.