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Finding the Fourth Proportional to 161,478, 242,146.32 and 81,466.74

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Solution

The fourth proportional to 161,478, 242,146.32 and 81,466.74 is: 122,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,478 : 242,146.32 = 81,466.74 : x
  2. Step 2: Convert to fraction form
    161,478/242,146.32 = 81,466.74/x
  3. Step 3: Cross multiply
    161,478x = 242,146.32 × 81,466.74
  4. Step 4: Simplify right side
    161,478x = 19,726,871,293.40
  5. Step 5: Solve for x
    x = 19,726,871,293.40/161,478
  6. Step 6: Final answer
    x = 122,164.45

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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.