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Finding the Fourth Proportional to 211,007.76, 316,511.64 and 70,765.98

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Solution

The fourth proportional to 211,007.76, 316,511.64 and 70,765.98 is: 106,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,007.76 : 316,511.64 = 70,765.98 : x
  2. Step 2: Convert to fraction form
    211,007.76/316,511.64 = 70,765.98/x
  3. Step 3: Cross multiply
    211,007.76x = 316,511.64 × 70,765.98
  4. Step 4: Simplify right side
    211,007.76x = 22,398,256,386.01
  5. Step 5: Solve for x
    x = 22,398,256,386.01/211,007.76
  6. Step 6: Final answer
    x = 106,148.97

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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.