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Finding the Fourth Proportional to 65,284.30, 97,813.05 and 30,151.90

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Solution

The fourth proportional to 65,284.30, 97,813.05 and 30,151.90 is: 45,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,284.30 : 97,813.05 = 30,151.90 : x
  2. Step 2: Convert to fraction form
    65,284.30/97,813.05 = 30,151.90/x
  3. Step 3: Cross multiply
    65,284.30x = 97,813.05 × 30,151.90
  4. Step 4: Simplify right side
    65,284.30x = 2,949,249,302.30
  5. Step 5: Solve for x
    x = 2,949,249,302.30/65,284.30
  6. Step 6: Final answer
    x = 45,175.48

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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.