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Finding the Fourth Proportional to 65,712.59, 90,683.30 and 35,497.91

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Solution

The fourth proportional to 65,712.59, 90,683.30 and 35,497.91 is: 48,987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,712.59 : 90,683.30 = 35,497.91 : x
  2. Step 2: Convert to fraction form
    65,712.59/90,683.30 = 35,497.91/x
  3. Step 3: Cross multiply
    65,712.59x = 90,683.30 × 35,497.91
  4. Step 4: Simplify right side
    65,712.59x = 3,219,066,991.00
  5. Step 5: Solve for x
    x = 3,219,066,991.00/65,712.59
  6. Step 6: Final answer
    x = 48,987.07

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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.