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Finding the Fourth Proportional to 78,221.88, 117,332.76 and 28,290.28

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Solution

The fourth proportional to 78,221.88, 117,332.76 and 28,290.28 is: 42,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,221.88 : 117,332.76 = 28,290.28 : x
  2. Step 2: Convert to fraction form
    78,221.88/117,332.76 = 28,290.28/x
  3. Step 3: Cross multiply
    78,221.88x = 117,332.76 × 28,290.28
  4. Step 4: Simplify right side
    78,221.88x = 3,319,376,633.57
  5. Step 5: Solve for x
    x = 3,319,376,633.57/78,221.88
  6. Step 6: Final answer
    x = 42,435.40

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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.