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Finding the Fourth Proportional to 242,712.88, 334,945.36 and 135,289.76

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Solution

The fourth proportional to 242,712.88, 334,945.36 and 135,289.76 is: 186,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,712.88 : 334,945.36 = 135,289.76 : x
  2. Step 2: Convert to fraction form
    242,712.88/334,945.36 = 135,289.76/x
  3. Step 3: Cross multiply
    242,712.88x = 334,945.36 × 135,289.76
  4. Step 4: Simplify right side
    242,712.88x = 45,314,677,367.51
  5. Step 5: Solve for x
    x = 45,314,677,367.51/242,712.88
  6. Step 6: Final answer
    x = 186,700.75

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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.