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Finding the Fourth Proportional to 53,856.30, 80,784.45 and 42,702.60

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Solution

The fourth proportional to 53,856.30, 80,784.45 and 42,702.60 is: 64,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,856.30 : 80,784.45 = 42,702.60 : x
  2. Step 2: Convert to fraction form
    53,856.30/80,784.45 = 42,702.60/x
  3. Step 3: Cross multiply
    53,856.30x = 80,784.45 × 42,702.60
  4. Step 4: Simplify right side
    53,856.30x = 3,449,706,054.57
  5. Step 5: Solve for x
    x = 3,449,706,054.57/53,856.30
  6. Step 6: Final answer
    x = 64,053.90

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1.5x scale

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.