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Finding the Fourth Proportional to 175,903, 263,854.50 and 77,407

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Solution

The fourth proportional to 175,903, 263,854.50 and 77,407 is: 116,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,903 : 263,854.50 = 77,407 : x
  2. Step 2: Convert to fraction form
    175,903/263,854.50 = 77,407/x
  3. Step 3: Cross multiply
    175,903x = 263,854.50 × 77,407
  4. Step 4: Simplify right side
    175,903x = 20,424,185,281.50
  5. Step 5: Solve for x
    x = 20,424,185,281.50/175,903
  6. Step 6: Final answer
    x = 116,110.50

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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.