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Finding the Fourth Proportional to 64,284, 96,430.86 and 19,915.23

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Solution

The fourth proportional to 64,284, 96,430.86 and 19,915.23 is: 29,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,284 : 96,430.86 = 19,915.23 : x
  2. Step 2: Convert to fraction form
    64,284/96,430.86 = 19,915.23/x
  3. Step 3: Cross multiply
    64,284x = 96,430.86 × 19,915.23
  4. Step 4: Simplify right side
    64,284x = 1,920,442,756.00
  5. Step 5: Solve for x
    x = 1,920,442,756.00/64,284
  6. Step 6: Final answer
    x = 29,874.35

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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.