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Finding the Fourth Proportional to 51,053.69, 70,455.66 and 30,914.30

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Solution

The fourth proportional to 51,053.69, 70,455.66 and 30,914.30 is: 42,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,053.69 : 70,455.66 = 30,914.30 : x
  2. Step 2: Convert to fraction form
    51,053.69/70,455.66 = 30,914.30/x
  3. Step 3: Cross multiply
    51,053.69x = 70,455.66 × 30,914.30
  4. Step 4: Simplify right side
    51,053.69x = 2,178,087,409.94
  5. Step 5: Solve for x
    x = 2,178,087,409.94/51,053.69
  6. Step 6: Final answer
    x = 42,662.68

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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.