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Finding the Fourth Proportional to 135,443.85, 186,907 and 75,010.89

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Solution

The fourth proportional to 135,443.85, 186,907 and 75,010.89 is: 103,511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,443.85 : 186,907 = 75,010.89 : x
  2. Step 2: Convert to fraction form
    135,443.85/186,907 = 75,010.89/x
  3. Step 3: Cross multiply
    135,443.85x = 186,907 × 75,010.89
  4. Step 4: Simplify right side
    135,443.85x = 14,020,060,417.23
  5. Step 5: Solve for x
    x = 14,020,060,417.23/135,443.85
  6. Step 6: Final answer
    x = 103,511.98

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1.5x scale

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.