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Finding the Fourth Proportional to 121,094.96, 181,666.74 and 42,188

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Solution

The fourth proportional to 121,094.96, 181,666.74 and 42,188 is: 63,290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,094.96 : 181,666.74 = 42,188 : x
  2. Step 2: Convert to fraction form
    121,094.96/181,666.74 = 42,188/x
  3. Step 3: Cross multiply
    121,094.96x = 181,666.74 × 42,188
  4. Step 4: Simplify right side
    121,094.96x = 7,664,156,427.12
  5. Step 5: Solve for x
    x = 7,664,156,427.12/121,094.96
  6. Step 6: Final answer
    x = 63,290.47

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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.