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Finding the Fourth Proportional to 99,478.77, 149,018.28 and 49,407.40

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Solution

The fourth proportional to 99,478.77, 149,018.28 and 49,407.40 is: 74,011.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,478.77 : 149,018.28 = 49,407.40 : x
  2. Step 2: Convert to fraction form
    99,478.77/149,018.28 = 49,407.40/x
  3. Step 3: Cross multiply
    99,478.77x = 149,018.28 × 49,407.40
  4. Step 4: Simplify right side
    99,478.77x = 7,362,605,767.27
  5. Step 5: Solve for x
    x = 7,362,605,767.27/99,478.77
  6. Step 6: Final answer
    x = 74,011.83

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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.