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Finding the Fourth Proportional to 148,610, 205,081.80 and 81,546.32

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Solution

The fourth proportional to 148,610, 205,081.80 and 81,546.32 is: 112,533.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,610 : 205,081.80 = 81,546.32 : x
  2. Step 2: Convert to fraction form
    148,610/205,081.80 = 81,546.32/x
  3. Step 3: Cross multiply
    148,610x = 205,081.80 × 81,546.32
  4. Step 4: Simplify right side
    148,610x = 16,723,666,088.98
  5. Step 5: Solve for x
    x = 16,723,666,088.98/148,610
  6. Step 6: Final answer
    x = 112,533.92

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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.