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Finding the Fourth Proportional to 78,113, 117,189.48 and 22,709

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Solution

The fourth proportional to 78,113, 117,189.48 and 22,709 is: 34,069.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,113 : 117,189.48 = 22,709 : x
  2. Step 2: Convert to fraction form
    78,113/117,189.48 = 22,709/x
  3. Step 3: Cross multiply
    78,113x = 117,189.48 × 22,709
  4. Step 4: Simplify right side
    78,113x = 2,661,255,901.32
  5. Step 5: Solve for x
    x = 2,661,255,901.32/78,113
  6. Step 6: Final answer
    x = 34,069.31

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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.