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Finding the Fourth Proportional to 81,415.76, 122,088.12 and 28,807.76

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Solution

The fourth proportional to 81,415.76, 122,088.12 and 28,807.76 is: 43,199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,415.76 : 122,088.12 = 28,807.76 : x
  2. Step 2: Convert to fraction form
    81,415.76/122,088.12 = 28,807.76/x
  3. Step 3: Cross multiply
    81,415.76x = 122,088.12 × 28,807.76
  4. Step 4: Simplify right side
    81,415.76x = 3,517,085,259.81
  5. Step 5: Solve for x
    x = 3,517,085,259.81/81,415.76
  6. Step 6: Final answer
    x = 43,199.07

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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.