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Finding the Fourth Proportional to 180,784, 249,455.73 and 100,211.50

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Solution

The fourth proportional to 180,784, 249,455.73 and 100,211.50 is: 138,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,784 : 249,455.73 = 100,211.50 : x
  2. Step 2: Convert to fraction form
    180,784/249,455.73 = 100,211.50/x
  3. Step 3: Cross multiply
    180,784x = 249,455.73 × 100,211.50
  4. Step 4: Simplify right side
    180,784x = 24,998,332,886.90
  5. Step 5: Solve for x
    x = 24,998,332,886.90/180,784
  6. Step 6: Final answer
    x = 138,277.35

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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.