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Finding the Fourth Proportional to 81,426.40, 121,880.40 and 58,098.40

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Solution

The fourth proportional to 81,426.40, 121,880.40 and 58,098.40 is: 86,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,426.40 : 121,880.40 = 58,098.40 : x
  2. Step 2: Convert to fraction form
    81,426.40/121,880.40 = 58,098.40/x
  3. Step 3: Cross multiply
    81,426.40x = 121,880.40 × 58,098.40
  4. Step 4: Simplify right side
    81,426.40x = 7,081,056,231.36
  5. Step 5: Solve for x
    x = 7,081,056,231.36/81,426.40
  6. Step 6: Final answer
    x = 86,962.66

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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.