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Finding the Fourth Proportional to 117,009.30, 175,513.95 and 77,610.90

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Solution

The fourth proportional to 117,009.30, 175,513.95 and 77,610.90 is: 116,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,009.30 : 175,513.95 = 77,610.90 : x
  2. Step 2: Convert to fraction form
    117,009.30/175,513.95 = 77,610.90/x
  3. Step 3: Cross multiply
    117,009.30x = 175,513.95 × 77,610.90
  4. Step 4: Simplify right side
    117,009.30x = 13,621,795,622.06
  5. Step 5: Solve for x
    x = 13,621,795,622.06/117,009.30
  6. Step 6: Final answer
    x = 116,416.35

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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.