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Finding the Fourth Proportional to 100,281.94, 138,359.40 and 57,260

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Solution

The fourth proportional to 100,281.94, 138,359.40 and 57,260 is: 79,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,281.94 : 138,359.40 = 57,260 : x
  2. Step 2: Convert to fraction form
    100,281.94/138,359.40 = 57,260/x
  3. Step 3: Cross multiply
    100,281.94x = 138,359.40 × 57,260
  4. Step 4: Simplify right side
    100,281.94x = 7,922,459,244
  5. Step 5: Solve for x
    x = 7,922,459,244/100,281.94
  6. Step 6: Final answer
    x = 79,001.85

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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.