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Finding the Fourth Proportional to 65,712, 90,682.68 and 35,904

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Solution

The fourth proportional to 65,712, 90,682.68 and 35,904 is: 49,547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,712 : 90,682.68 = 35,904 : x
  2. Step 2: Convert to fraction form
    65,712/90,682.68 = 35,904/x
  3. Step 3: Cross multiply
    65,712x = 90,682.68 × 35,904
  4. Step 4: Simplify right side
    65,712x = 3,255,870,942.72
  5. Step 5: Solve for x
    x = 3,255,870,942.72/65,712
  6. Step 6: Final answer
    x = 49,547.59

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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.