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Finding the Fourth Proportional to 180,978.57, 249,762.25 and 104,500.90

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Solution

The fourth proportional to 180,978.57, 249,762.25 and 104,500.90 is: 144,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,978.57 : 249,762.25 = 104,500.90 : x
  2. Step 2: Convert to fraction form
    180,978.57/249,762.25 = 104,500.90/x
  3. Step 3: Cross multiply
    180,978.57x = 249,762.25 × 104,500.90
  4. Step 4: Simplify right side
    180,978.57x = 26,100,380,353.85
  5. Step 5: Solve for x
    x = 26,100,380,353.85/180,978.57
  6. Step 6: Final answer
    x = 144,218.07

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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.