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Finding the Fourth Proportional to 175,763.64, 263,642.94 and 42,645

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Solution

The fourth proportional to 175,763.64, 263,642.94 and 42,645 is: 63,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,763.64 : 263,642.94 = 42,645 : x
  2. Step 2: Convert to fraction form
    175,763.64/263,642.94 = 42,645/x
  3. Step 3: Cross multiply
    175,763.64x = 263,642.94 × 42,645
  4. Step 4: Simplify right side
    175,763.64x = 11,243,053,176.30
  5. Step 5: Solve for x
    x = 11,243,053,176.30/175,763.64
  6. Step 6: Final answer
    x = 63,966.89

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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.