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Finding the Fourth Proportional to 148,980.45, 205,597.07 and 81,002.01

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Solution

The fourth proportional to 148,980.45, 205,597.07 and 81,002.01 is: 111,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,980.45 : 205,597.07 = 81,002.01 : x
  2. Step 2: Convert to fraction form
    148,980.45/205,597.07 = 81,002.01/x
  3. Step 3: Cross multiply
    148,980.45x = 205,597.07 × 81,002.01
  4. Step 4: Simplify right side
    148,980.45x = 16,653,775,920.11
  5. Step 5: Solve for x
    x = 16,653,775,920.11/148,980.45
  6. Step 6: Final answer
    x = 111,784.98

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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.