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Finding the Fourth Proportional to 101,642.19, 152,342.32 and 76,599.68

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Solution

The fourth proportional to 101,642.19, 152,342.32 and 76,599.68 is: 114,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,642.19 : 152,342.32 = 76,599.68 : x
  2. Step 2: Convert to fraction form
    101,642.19/152,342.32 = 76,599.68/x
  3. Step 3: Cross multiply
    101,642.19x = 152,342.32 × 76,599.68
  4. Step 4: Simplify right side
    101,642.19x = 11,669,372,152.87
  5. Step 5: Solve for x
    x = 11,669,372,152.87/101,642.19
  6. Step 6: Final answer
    x = 114,808.35

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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.