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Finding the Fourth Proportional to 144,822.80, 217,075.80 and 51,280.40

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Solution

The fourth proportional to 144,822.80, 217,075.80 and 51,280.40 is: 76,864.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,822.80 : 217,075.80 = 51,280.40 : x
  2. Step 2: Convert to fraction form
    144,822.80/217,075.80 = 51,280.40/x
  3. Step 3: Cross multiply
    144,822.80x = 217,075.80 × 51,280.40
  4. Step 4: Simplify right side
    144,822.80x = 11,131,733,854.32
  5. Step 5: Solve for x
    x = 11,131,733,854.32/144,822.80
  6. Step 6: Final answer
    x = 76,864.51

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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.