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Finding the Fourth Proportional to 99,284, 137,011.92 and 54,572

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Solution

The fourth proportional to 99,284, 137,011.92 and 54,572 is: 75,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,284 : 137,011.92 = 54,572 : x
  2. Step 2: Convert to fraction form
    99,284/137,011.92 = 54,572/x
  3. Step 3: Cross multiply
    99,284x = 137,011.92 × 54,572
  4. Step 4: Simplify right side
    99,284x = 7,477,014,498.24
  5. Step 5: Solve for x
    x = 7,477,014,498.24/99,284
  6. Step 6: Final answer
    x = 75,309.36

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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.