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Finding the Fourth Proportional to 128,784.32, 177,825.12 and 86,379.20

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Solution

The fourth proportional to 128,784.32, 177,825.12 and 86,379.20 is: 119,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,784.32 : 177,825.12 = 86,379.20 : x
  2. Step 2: Convert to fraction form
    128,784.32/177,825.12 = 86,379.20/x
  3. Step 3: Cross multiply
    128,784.32x = 177,825.12 × 86,379.20
  4. Step 4: Simplify right side
    128,784.32x = 15,360,391,605.50
  5. Step 5: Solve for x
    x = 15,360,391,605.50/128,784.32
  6. Step 6: Final answer
    x = 119,272.22

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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.