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Finding the Fourth Proportional to 180,880.74, 249,599.04 and 100,308

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Solution

The fourth proportional to 180,880.74, 249,599.04 and 100,308 is: 138,415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,880.74 : 249,599.04 = 100,308 : x
  2. Step 2: Convert to fraction form
    180,880.74/249,599.04 = 100,308/x
  3. Step 3: Cross multiply
    180,880.74x = 249,599.04 × 100,308
  4. Step 4: Simplify right side
    180,880.74x = 25,036,780,504.32
  5. Step 5: Solve for x
    x = 25,036,780,504.32/180,880.74
  6. Step 6: Final answer
    x = 138,415.96

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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.