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Finding the Fourth Proportional to 159,967.98, 220,752 and 87,368.22

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Solution

The fourth proportional to 159,967.98, 220,752 and 87,368.22 is: 120,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,967.98 : 220,752 = 87,368.22 : x
  2. Step 2: Convert to fraction form
    159,967.98/220,752 = 87,368.22/x
  3. Step 3: Cross multiply
    159,967.98x = 220,752 × 87,368.22
  4. Step 4: Simplify right side
    159,967.98x = 19,286,709,301.44
  5. Step 5: Solve for x
    x = 19,286,709,301.44/159,967.98
  6. Step 6: Final answer
    x = 120,566.06

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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.