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Finding the Fourth Proportional to 175,869.78, 242,784 and 117,826.50

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Solution

The fourth proportional to 175,869.78, 242,784 and 117,826.50 is: 162,656.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,869.78 : 242,784 = 117,826.50 : x
  2. Step 2: Convert to fraction form
    175,869.78/242,784 = 117,826.50/x
  3. Step 3: Cross multiply
    175,869.78x = 242,784 × 117,826.50
  4. Step 4: Simplify right side
    175,869.78x = 28,606,388,976
  5. Step 5: Solve for x
    x = 28,606,388,976/175,869.78
  6. Step 6: Final answer
    x = 162,656.65

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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.