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Finding the Fourth Proportional to 64,959, 89,643.66 and 35,151

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Solution

The fourth proportional to 64,959, 89,643.66 and 35,151 is: 48,508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,959 : 89,643.66 = 35,151 : x
  2. Step 2: Convert to fraction form
    64,959/89,643.66 = 35,151/x
  3. Step 3: Cross multiply
    64,959x = 89,643.66 × 35,151
  4. Step 4: Simplify right side
    64,959x = 3,151,064,292.66
  5. Step 5: Solve for x
    x = 3,151,064,292.66/64,959
  6. Step 6: Final answer
    x = 48,508.51

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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.