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Finding the Fourth Proportional to 53,970.70, 80,962.84 and 28,976.40

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Solution

The fourth proportional to 53,970.70, 80,962.84 and 28,976.40 is: 43,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,970.70 : 80,962.84 = 28,976.40 : x
  2. Step 2: Convert to fraction form
    53,970.70/80,962.84 = 28,976.40/x
  3. Step 3: Cross multiply
    53,970.70x = 80,962.84 × 28,976.40
  4. Step 4: Simplify right side
    53,970.70x = 2,346,011,636.98
  5. Step 5: Solve for x
    x = 2,346,011,636.98/53,970.70
  6. Step 6: Final answer
    x = 43,468.25

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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.