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Finding the Fourth Proportional to 78,148.94, 117,209.80 and 21,975.70

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Solution

The fourth proportional to 78,148.94, 117,209.80 and 21,975.70 is: 32,959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,148.94 : 117,209.80 = 21,975.70 : x
  2. Step 2: Convert to fraction form
    78,148.94/117,209.80 = 21,975.70/x
  3. Step 3: Cross multiply
    78,148.94x = 117,209.80 × 21,975.70
  4. Step 4: Simplify right side
    78,148.94x = 2,575,767,401.86
  5. Step 5: Solve for x
    x = 2,575,767,401.86/78,148.94
  6. Step 6: Final answer
    x = 32,959.72

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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.