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Finding the Fourth Proportional to 129,117, 193,682.79 and 46,011

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Solution

The fourth proportional to 129,117, 193,682.79 and 46,011 is: 69,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,117 : 193,682.79 = 46,011 : x
  2. Step 2: Convert to fraction form
    129,117/193,682.79 = 46,011/x
  3. Step 3: Cross multiply
    129,117x = 193,682.79 × 46,011
  4. Step 4: Simplify right side
    129,117x = 8,911,538,850.69
  5. Step 5: Solve for x
    x = 8,911,538,850.69/129,117
  6. Step 6: Final answer
    x = 69,019.10

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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.