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Finding the Fourth Proportional to 255,869.68, 353,102.16 and 142,695.04

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Solution

The fourth proportional to 255,869.68, 353,102.16 and 142,695.04 is: 196,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,869.68 : 353,102.16 = 142,695.04 : x
  2. Step 2: Convert to fraction form
    255,869.68/353,102.16 = 142,695.04/x
  3. Step 3: Cross multiply
    255,869.68x = 353,102.16 × 142,695.04
  4. Step 4: Simplify right side
    255,869.68x = 50,385,926,845.29
  5. Step 5: Solve for x
    x = 50,385,926,845.29/255,869.68
  6. Step 6: Final answer
    x = 196,920.27

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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.