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Finding the Fourth Proportional to 99,810.10, 149,715.15 and 49,897.90

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Solution

The fourth proportional to 99,810.10, 149,715.15 and 49,897.90 is: 74,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,810.10 : 149,715.15 = 49,897.90 : x
  2. Step 2: Convert to fraction form
    99,810.10/149,715.15 = 49,897.90/x
  3. Step 3: Cross multiply
    99,810.10x = 149,715.15 × 49,897.90
  4. Step 4: Simplify right side
    99,810.10x = 7,470,471,583.19
  5. Step 5: Solve for x
    x = 7,470,471,583.19/99,810.10
  6. Step 6: Final answer
    x = 74,846.85

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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.