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Finding the Fourth Proportional to 65,434.74, 98,142.66 and 21,055.74

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Solution

The fourth proportional to 65,434.74, 98,142.66 and 21,055.74 is: 31,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,434.74 : 98,142.66 = 21,055.74 : x
  2. Step 2: Convert to fraction form
    65,434.74/98,142.66 = 21,055.74/x
  3. Step 3: Cross multiply
    65,434.74x = 98,142.66 × 21,055.74
  4. Step 4: Simplify right side
    65,434.74x = 2,066,466,331.87
  5. Step 5: Solve for x
    x = 2,066,466,331.87/65,434.74
  6. Step 6: Final answer
    x = 31,580.57

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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.