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Finding the Fourth Proportional to 78,077.88, 117,098.10 and 21,920.40

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Solution

The fourth proportional to 78,077.88, 117,098.10 and 21,920.40 is: 32,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,077.88 : 117,098.10 = 21,920.40 : x
  2. Step 2: Convert to fraction form
    78,077.88/117,098.10 = 21,920.40/x
  3. Step 3: Cross multiply
    78,077.88x = 117,098.10 × 21,920.40
  4. Step 4: Simplify right side
    78,077.88x = 2,566,837,191.24
  5. Step 5: Solve for x
    x = 2,566,837,191.24/78,077.88
  6. Step 6: Final answer
    x = 32,875.34

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1.5x scale

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.