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Finding the Fourth Proportional to 65,978.58, 90,928.35 and 46,859.20

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Solution

The fourth proportional to 65,978.58, 90,928.35 and 46,859.20 is: 64,578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,978.58 : 90,928.35 = 46,859.20 : x
  2. Step 2: Convert to fraction form
    65,978.58/90,928.35 = 46,859.20/x
  3. Step 3: Cross multiply
    65,978.58x = 90,928.35 × 46,859.20
  4. Step 4: Simplify right side
    65,978.58x = 4,260,829,511.00
  5. Step 5: Solve for x
    x = 4,260,829,511.00/65,978.58
  6. Step 6: Final answer
    x = 64,578.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.