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Finding the Fourth Proportional to 228,107.64, 342,207 and 70,330.08

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Solution

The fourth proportional to 228,107.64, 342,207 and 70,330.08 is: 105,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,107.64 : 342,207 = 70,330.08 : x
  2. Step 2: Convert to fraction form
    228,107.64/342,207 = 70,330.08/x
  3. Step 3: Cross multiply
    228,107.64x = 342,207 × 70,330.08
  4. Step 4: Simplify right side
    228,107.64x = 24,067,445,686.56
  5. Step 5: Solve for x
    x = 24,067,445,686.56/228,107.64
  6. Step 6: Final answer
    x = 105,509.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.