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Finding the Fourth Proportional to 180,463, 249,035.34 and 99,890.50

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Solution

The fourth proportional to 180,463, 249,035.34 and 99,890.50 is: 137,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,463 : 249,035.34 = 99,890.50 : x
  2. Step 2: Convert to fraction form
    180,463/249,035.34 = 99,890.50/x
  3. Step 3: Cross multiply
    180,463x = 249,035.34 × 99,890.50
  4. Step 4: Simplify right side
    180,463x = 24,876,264,630.27
  5. Step 5: Solve for x
    x = 24,876,264,630.27/180,463
  6. Step 6: Final answer
    x = 137,846.90

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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.