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Finding the Fourth Proportional to 65,250.40, 97,878.80 and 34,146.40

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Solution

The fourth proportional to 65,250.40, 97,878.80 and 34,146.40 is: 51,221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,250.40 : 97,878.80 = 34,146.40 : x
  2. Step 2: Convert to fraction form
    65,250.40/97,878.80 = 34,146.40/x
  3. Step 3: Cross multiply
    65,250.40x = 97,878.80 × 34,146.40
  4. Step 4: Simplify right side
    65,250.40x = 3,342,208,656.32
  5. Step 5: Solve for x
    x = 3,342,208,656.32/65,250.40
  6. Step 6: Final answer
    x = 51,221.27

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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.