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Finding the Fourth Proportional to 99,278.50, 148,918.83 and 25,406.50

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Solution

The fourth proportional to 99,278.50, 148,918.83 and 25,406.50 is: 38,110.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,278.50 : 148,918.83 = 25,406.50 : x
  2. Step 2: Convert to fraction form
    99,278.50/148,918.83 = 25,406.50/x
  3. Step 3: Cross multiply
    99,278.50x = 148,918.83 × 25,406.50
  4. Step 4: Simplify right side
    99,278.50x = 3,783,506,254.40
  5. Step 5: Solve for x
    x = 3,783,506,254.40/99,278.50
  6. Step 6: Final answer
    x = 38,110.03

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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.