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Finding the Fourth Proportional to 230,102.96, 317,539.32 and 128,128.64

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Solution

The fourth proportional to 230,102.96, 317,539.32 and 128,128.64 is: 176,815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,102.96 : 317,539.32 = 128,128.64 : x
  2. Step 2: Convert to fraction form
    230,102.96/317,539.32 = 128,128.64/x
  3. Step 3: Cross multiply
    230,102.96x = 317,539.32 × 128,128.64
  4. Step 4: Simplify right side
    230,102.96x = 40,685,881,218.12
  5. Step 5: Solve for x
    x = 40,685,881,218.12/230,102.96
  6. Step 6: Final answer
    x = 176,815.98

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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.