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Finding the Fourth Proportional to 120,275.74, 165,978.03 and 66,557.53

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Solution

The fourth proportional to 120,275.74, 165,978.03 and 66,557.53 is: 91,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,275.74 : 165,978.03 = 66,557.53 : x
  2. Step 2: Convert to fraction form
    120,275.74/165,978.03 = 66,557.53/x
  3. Step 3: Cross multiply
    120,275.74x = 165,978.03 × 66,557.53
  4. Step 4: Simplify right side
    120,275.74x = 11,047,087,711.07
  5. Step 5: Solve for x
    x = 11,047,087,711.07/120,275.74
  6. Step 6: Final answer
    x = 91,848.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.