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Finding the Fourth Proportional to 131,400, 181,331.98 and 70,970.64

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Solution

The fourth proportional to 131,400, 181,331.98 and 70,970.64 is: 97,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,400 : 181,331.98 = 70,970.64 : x
  2. Step 2: Convert to fraction form
    131,400/181,331.98 = 70,970.64/x
  3. Step 3: Cross multiply
    131,400x = 181,331.98 × 70,970.64
  4. Step 4: Simplify right side
    131,400x = 12,869,246,673.07
  5. Step 5: Solve for x
    x = 12,869,246,673.07/131,400
  6. Step 6: Final answer
    x = 97,939.47

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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.