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Finding the Fourth Proportional to 82,878.78, 114,342.70 and 54,214.77

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Solution

The fourth proportional to 82,878.78, 114,342.70 and 54,214.77 is: 74,796.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,878.78 : 114,342.70 = 54,214.77 : x
  2. Step 2: Convert to fraction form
    82,878.78/114,342.70 = 54,214.77/x
  3. Step 3: Cross multiply
    82,878.78x = 114,342.70 × 54,214.77
  4. Step 4: Simplify right side
    82,878.78x = 6,199,063,009.64
  5. Step 5: Solve for x
    x = 6,199,063,009.64/82,878.78
  6. Step 6: Final answer
    x = 74,796.74

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1.5x scale

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.