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Finding the Fourth Proportional to 81,802.64, 113,088.90 and 81,054.20

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Solution

The fourth proportional to 81,802.64, 113,088.90 and 81,054.20 is: 112,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,802.64 : 113,088.90 = 81,054.20 : x
  2. Step 2: Convert to fraction form
    81,802.64/113,088.90 = 81,054.20/x
  3. Step 3: Cross multiply
    81,802.64x = 113,088.90 × 81,054.20
  4. Step 4: Simplify right side
    81,802.64x = 9,166,330,318.38
  5. Step 5: Solve for x
    x = 9,166,330,318.38/81,802.64
  6. Step 6: Final answer
    x = 112,054.21

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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.