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Finding the Fourth Proportional to 100,310, 138,427.80 and 55,598

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Solution

The fourth proportional to 100,310, 138,427.80 and 55,598 is: 76,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,310 : 138,427.80 = 55,598 : x
  2. Step 2: Convert to fraction form
    100,310/138,427.80 = 55,598/x
  3. Step 3: Cross multiply
    100,310x = 138,427.80 × 55,598
  4. Step 4: Simplify right side
    100,310x = 7,696,308,824.40
  5. Step 5: Solve for x
    x = 7,696,308,824.40/100,310
  6. Step 6: Final answer
    x = 76,725.24

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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.