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Finding the Fourth Proportional to 242,648.70, 363,973.05 and 76,415.10

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Solution

The fourth proportional to 242,648.70, 363,973.05 and 76,415.10 is: 114,622.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,648.70 : 363,973.05 = 76,415.10 : x
  2. Step 2: Convert to fraction form
    242,648.70/363,973.05 = 76,415.10/x
  3. Step 3: Cross multiply
    242,648.70x = 363,973.05 × 76,415.10
  4. Step 4: Simplify right side
    242,648.70x = 27,813,037,013.06
  5. Step 5: Solve for x
    x = 27,813,037,013.06/242,648.70
  6. Step 6: Final answer
    x = 114,622.65

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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.