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Finding the Fourth Proportional to 82,693.60, 115,978.40 and 82,693.60

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Solution

The fourth proportional to 82,693.60, 115,978.40 and 82,693.60 is: 115,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,693.60 : 115,978.40 = 82,693.60 : x
  2. Step 2: Convert to fraction form
    82,693.60/115,978.40 = 82,693.60/x
  3. Step 3: Cross multiply
    82,693.60x = 115,978.40 × 82,693.60
  4. Step 4: Simplify right side
    82,693.60x = 9,590,671,418.24
  5. Step 5: Solve for x
    x = 9,590,671,418.24/82,693.60
  6. Step 6: Final answer
    x = 115,978.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.