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Finding the Fourth Proportional to 128,308.86, 177,074.10 and 71,720.24

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Solution

The fourth proportional to 128,308.86, 177,074.10 and 71,720.24 is: 98,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,308.86 : 177,074.10 = 71,720.24 : x
  2. Step 2: Convert to fraction form
    128,308.86/177,074.10 = 71,720.24/x
  3. Step 3: Cross multiply
    128,308.86x = 177,074.10 × 71,720.24
  4. Step 4: Simplify right side
    128,308.86x = 12,699,796,064.41
  5. Step 5: Solve for x
    x = 12,699,796,064.41/128,308.86
  6. Step 6: Final answer
    x = 98,978.33

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1.5x scale

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.