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Finding the Fourth Proportional to 273,038.68, 409,599.06 and 86,047.48

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Solution

The fourth proportional to 273,038.68, 409,599.06 and 86,047.48 is: 129,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,038.68 : 409,599.06 = 86,047.48 : x
  2. Step 2: Convert to fraction form
    273,038.68/409,599.06 = 86,047.48/x
  3. Step 3: Cross multiply
    273,038.68x = 409,599.06 × 86,047.48
  4. Step 4: Simplify right side
    273,038.68x = 35,244,966,923.37
  5. Step 5: Solve for x
    x = 35,244,966,923.37/273,038.68
  6. Step 6: Final answer
    x = 129,084.15

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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.