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Finding the Fourth Proportional to 117,911.40, 176,607.90 and 102,359.40

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Solution

The fourth proportional to 117,911.40, 176,607.90 and 102,359.40 is: 153,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,911.40 : 176,607.90 = 102,359.40 : x
  2. Step 2: Convert to fraction form
    117,911.40/176,607.90 = 102,359.40/x
  3. Step 3: Cross multiply
    117,911.40x = 176,607.90 × 102,359.40
  4. Step 4: Simplify right side
    117,911.40x = 18,077,478,679.26
  5. Step 5: Solve for x
    x = 18,077,478,679.26/117,911.40
  6. Step 6: Final answer
    x = 153,314.09

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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.