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Finding the Fourth Proportional to 242,259.36, 334,128.24 and 157,404

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Solution

The fourth proportional to 242,259.36, 334,128.24 and 157,404 is: 217,094.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,259.36 : 334,128.24 = 157,404 : x
  2. Step 2: Convert to fraction form
    242,259.36/334,128.24 = 157,404/x
  3. Step 3: Cross multiply
    242,259.36x = 334,128.24 × 157,404
  4. Step 4: Simplify right side
    242,259.36x = 52,593,121,488.96
  5. Step 5: Solve for x
    x = 52,593,121,488.96/242,259.36
  6. Step 6: Final answer
    x = 217,094.28

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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.