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Finding the Fourth Proportional to 147,681.40, 203,797.70 and 84,017.82

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Solution

The fourth proportional to 147,681.40, 203,797.70 and 84,017.82 is: 115,943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,681.40 : 203,797.70 = 84,017.82 : x
  2. Step 2: Convert to fraction form
    147,681.40/203,797.70 = 84,017.82/x
  3. Step 3: Cross multiply
    147,681.40x = 203,797.70 × 84,017.82
  4. Step 4: Simplify right side
    147,681.40x = 17,122,638,475.01
  5. Step 5: Solve for x
    x = 17,122,638,475.01/147,681.40
  6. Step 6: Final answer
    x = 115,943.09

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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.