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Finding the Fourth Proportional to 135,870.98, 187,506.72 and 75,442.55

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Solution

The fourth proportional to 135,870.98, 187,506.72 and 75,442.55 is: 104,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,870.98 : 187,506.72 = 75,442.55 : x
  2. Step 2: Convert to fraction form
    135,870.98/187,506.72 = 75,442.55/x
  3. Step 3: Cross multiply
    135,870.98x = 187,506.72 × 75,442.55
  4. Step 4: Simplify right side
    135,870.98x = 14,145,984,161.40
  5. Step 5: Solve for x
    x = 14,145,984,161.40/135,870.98
  6. Step 6: Final answer
    x = 104,113.36

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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.