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Finding the Fourth Proportional to 83,557, 125,341.98 and 28,153

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Solution

The fourth proportional to 83,557, 125,341.98 and 28,153 is: 42,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,557 : 125,341.98 = 28,153 : x
  2. Step 2: Convert to fraction form
    83,557/125,341.98 = 28,153/x
  3. Step 3: Cross multiply
    83,557x = 125,341.98 × 28,153
  4. Step 4: Simplify right side
    83,557x = 3,528,752,762.94
  5. Step 5: Solve for x
    x = 3,528,752,762.94/83,557
  6. Step 6: Final answer
    x = 42,231.68

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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.