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Finding the Fourth Proportional to 268,011.36, 402,075.36 and 81,018

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Solution

The fourth proportional to 268,011.36, 402,075.36 and 81,018 is: 121,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,011.36 : 402,075.36 = 81,018 : x
  2. Step 2: Convert to fraction form
    268,011.36/402,075.36 = 81,018/x
  3. Step 3: Cross multiply
    268,011.36x = 402,075.36 × 81,018
  4. Step 4: Simplify right side
    268,011.36x = 32,575,341,516.48
  5. Step 5: Solve for x
    x = 32,575,341,516.48/268,011.36
  6. Step 6: Final answer
    x = 121,544.63

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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.