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Finding the Fourth Proportional to 65,262, 90,053.92 and 38,398.60

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Solution

The fourth proportional to 65,262, 90,053.92 and 38,398.60 is: 52,985.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,262 : 90,053.92 = 38,398.60 : x
  2. Step 2: Convert to fraction form
    65,262/90,053.92 = 38,398.60/x
  3. Step 3: Cross multiply
    65,262x = 90,053.92 × 38,398.60
  4. Step 4: Simplify right side
    65,262x = 3,457,944,452.51
  5. Step 5: Solve for x
    x = 3,457,944,452.51/65,262
  6. Step 6: Final answer
    x = 52,985.57

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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.