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Finding the Fourth Proportional to 77,026.66, 106,239.90 and 48,705

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Solution

The fourth proportional to 77,026.66, 106,239.90 and 48,705 is: 67,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,026.66 : 106,239.90 = 48,705 : x
  2. Step 2: Convert to fraction form
    77,026.66/106,239.90 = 48,705/x
  3. Step 3: Cross multiply
    77,026.66x = 106,239.90 × 48,705
  4. Step 4: Simplify right side
    77,026.66x = 5,174,414,329.50
  5. Step 5: Solve for x
    x = 5,174,414,329.50/77,026.66
  6. Step 6: Final answer
    x = 67,176.93

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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.