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Finding the Fourth Proportional to 133,775.84, 200,647.36 and 77,646.48

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Solution

The fourth proportional to 133,775.84, 200,647.36 and 77,646.48 is: 116,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,775.84 : 200,647.36 = 77,646.48 : x
  2. Step 2: Convert to fraction form
    133,775.84/200,647.36 = 77,646.48/x
  3. Step 3: Cross multiply
    133,775.84x = 200,647.36 × 77,646.48
  4. Step 4: Simplify right side
    133,775.84x = 15,579,561,225.29
  5. Step 5: Solve for x
    x = 15,579,561,225.29/133,775.84
  6. Step 6: Final answer
    x = 116,460.20

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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.