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Finding the Fourth Proportional to 159,154.64, 238,714.16 and 40,828.80

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Solution

The fourth proportional to 159,154.64, 238,714.16 and 40,828.80 is: 61,238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,154.64 : 238,714.16 = 40,828.80 : x
  2. Step 2: Convert to fraction form
    159,154.64/238,714.16 = 40,828.80/x
  3. Step 3: Cross multiply
    159,154.64x = 238,714.16 × 40,828.80
  4. Step 4: Simplify right side
    159,154.64x = 9,746,412,695.81
  5. Step 5: Solve for x
    x = 9,746,412,695.81/159,154.64
  6. Step 6: Final answer
    x = 61,238.63

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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.