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Finding the Fourth Proportional to 180,783.53, 249,455.04 and 100,211

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Solution

The fourth proportional to 180,783.53, 249,455.04 and 100,211 is: 138,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,783.53 : 249,455.04 = 100,211 : x
  2. Step 2: Convert to fraction form
    180,783.53/249,455.04 = 100,211/x
  3. Step 3: Cross multiply
    180,783.53x = 249,455.04 × 100,211
  4. Step 4: Simplify right side
    180,783.53x = 24,998,139,013.44
  5. Step 5: Solve for x
    x = 24,998,139,013.44/180,783.53
  6. Step 6: Final answer
    x = 138,276.64

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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.