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Finding the Fourth Proportional to 83,421, 115,132.08 and 47,602.80

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Solution

The fourth proportional to 83,421, 115,132.08 and 47,602.80 is: 65,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,421 : 115,132.08 = 47,602.80 : x
  2. Step 2: Convert to fraction form
    83,421/115,132.08 = 47,602.80/x
  3. Step 3: Cross multiply
    83,421x = 115,132.08 × 47,602.80
  4. Step 4: Simplify right side
    83,421x = 5,480,609,377.82
  5. Step 5: Solve for x
    x = 5,480,609,377.82/83,421
  6. Step 6: Final answer
    x = 65,698.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.