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Finding the Fourth Proportional to 148,738.76, 205,259.47 and 81,670.76

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Solution

The fourth proportional to 148,738.76, 205,259.47 and 81,670.76 is: 112,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,738.76 : 205,259.47 = 81,670.76 : x
  2. Step 2: Convert to fraction form
    148,738.76/205,259.47 = 81,670.76/x
  3. Step 3: Cross multiply
    148,738.76x = 205,259.47 × 81,670.76
  4. Step 4: Simplify right side
    148,738.76x = 16,763,696,912.10
  5. Step 5: Solve for x
    x = 16,763,696,912.10/148,738.76
  6. Step 6: Final answer
    x = 112,705.64

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1.5x scale

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.