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Finding the Fourth Proportional to 65,977.70, 98,988.27 and 43,878.02

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Solution

The fourth proportional to 65,977.70, 98,988.27 and 43,878.02 is: 65,831.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,977.70 : 98,988.27 = 43,878.02 : x
  2. Step 2: Convert to fraction form
    65,977.70/98,988.27 = 43,878.02/x
  3. Step 3: Cross multiply
    65,977.70x = 98,988.27 × 43,878.02
  4. Step 4: Simplify right side
    65,977.70x = 4,343,409,290.83
  5. Step 5: Solve for x
    x = 4,343,409,290.83/65,977.70
  6. Step 6: Final answer
    x = 65,831.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.