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Finding the Fourth Proportional to 133,059, 199,724.04 and 66,547.20

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Solution

The fourth proportional to 133,059, 199,724.04 and 66,547.20 is: 99,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,059 : 199,724.04 = 66,547.20 : x
  2. Step 2: Convert to fraction form
    133,059/199,724.04 = 66,547.20/x
  3. Step 3: Cross multiply
    133,059x = 199,724.04 × 66,547.20
  4. Step 4: Simplify right side
    133,059x = 13,291,075,634.69
  5. Step 5: Solve for x
    x = 13,291,075,634.69/133,059
  6. Step 6: Final answer
    x = 99,888.59

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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.