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Finding the Fourth Proportional to 83,780.47, 115,644 and 53,646.99

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Solution

The fourth proportional to 83,780.47, 115,644 and 53,646.99 is: 74,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,780.47 : 115,644 = 53,646.99 : x
  2. Step 2: Convert to fraction form
    83,780.47/115,644 = 53,646.99/x
  3. Step 3: Cross multiply
    83,780.47x = 115,644 × 53,646.99
  4. Step 4: Simplify right side
    83,780.47x = 6,203,952,511.56
  5. Step 5: Solve for x
    x = 6,203,952,511.56/83,780.47
  6. Step 6: Final answer
    x = 74,050.10

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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.