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Finding the Fourth Proportional to 97,776.84, 146,417.17 and 81,940.22

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Solution

The fourth proportional to 97,776.84, 146,417.17 and 81,940.22 is: 122,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,776.84 : 146,417.17 = 81,940.22 : x
  2. Step 2: Convert to fraction form
    97,776.84/146,417.17 = 81,940.22/x
  3. Step 3: Cross multiply
    97,776.84x = 146,417.17 × 81,940.22
  4. Step 4: Simplify right side
    97,776.84x = 11,997,455,710.94
  5. Step 5: Solve for x
    x = 11,997,455,710.94/97,776.84
  6. Step 6: Final answer
    x = 122,702.43

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1.5x scale

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.