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Finding the Fourth Proportional to 83,643, 125,507.52 and 55,582.44

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Solution

The fourth proportional to 83,643, 125,507.52 and 55,582.44 is: 83,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,643 : 125,507.52 = 55,582.44 : x
  2. Step 2: Convert to fraction form
    83,643/125,507.52 = 55,582.44/x
  3. Step 3: Cross multiply
    83,643x = 125,507.52 × 55,582.44
  4. Step 4: Simplify right side
    83,643x = 6,976,014,199.95
  5. Step 5: Solve for x
    x = 6,976,014,199.95/83,643
  6. Step 6: Final answer
    x = 83,402.25

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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.