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Finding the Fourth Proportional to 82,854.60, 114,381.78 and 56,137.80

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Solution

The fourth proportional to 82,854.60, 114,381.78 and 56,137.80 is: 77,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,854.60 : 114,381.78 = 56,137.80 : x
  2. Step 2: Convert to fraction form
    82,854.60/114,381.78 = 56,137.80/x
  3. Step 3: Cross multiply
    82,854.60x = 114,381.78 × 56,137.80
  4. Step 4: Simplify right side
    82,854.60x = 6,421,141,489.28
  5. Step 5: Solve for x
    x = 6,421,141,489.28/82,854.60
  6. Step 6: Final answer
    x = 77,498.91

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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.