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Finding the Fourth Proportional to 130,911.69, 180,656.90 and 72,766.90

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Solution

The fourth proportional to 130,911.69, 180,656.90 and 72,766.90 is: 100,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,911.69 : 180,656.90 = 72,766.90 : x
  2. Step 2: Convert to fraction form
    130,911.69/180,656.90 = 72,766.90/x
  3. Step 3: Cross multiply
    130,911.69x = 180,656.90 × 72,766.90
  4. Step 4: Simplify right side
    130,911.69x = 13,145,842,156.32
  5. Step 5: Solve for x
    x = 13,145,842,156.32/130,911.69
  6. Step 6: Final answer
    x = 100,417.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.