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Finding the Fourth Proportional to 84,312.47, 126,384.87 and 46,889.66

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Solution

The fourth proportional to 84,312.47, 126,384.87 and 46,889.66 is: 70,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,312.47 : 126,384.87 = 46,889.66 : x
  2. Step 2: Convert to fraction form
    84,312.47/126,384.87 = 46,889.66/x
  3. Step 3: Cross multiply
    84,312.47x = 126,384.87 × 46,889.66
  4. Step 4: Simplify right side
    84,312.47x = 5,926,143,583.44
  5. Step 5: Solve for x
    x = 5,926,143,583.44/84,312.47
  6. Step 6: Final answer
    x = 70,287.87

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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.