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Finding the Fourth Proportional to 128,416.40, 177,327.24 and 80,752.40

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Solution

The fourth proportional to 128,416.40, 177,327.24 and 80,752.40 is: 111,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,416.40 : 177,327.24 = 80,752.40 : x
  2. Step 2: Convert to fraction form
    128,416.40/177,327.24 = 80,752.40/x
  3. Step 3: Cross multiply
    128,416.40x = 177,327.24 × 80,752.40
  4. Step 4: Simplify right side
    128,416.40x = 14,319,600,215.38
  5. Step 5: Solve for x
    x = 14,319,600,215.38/128,416.40
  6. Step 6: Final answer
    x = 111,509.12

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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.