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Finding the Fourth Proportional to 219,073.82, 328,528.10 and 76,875.08

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Solution

The fourth proportional to 219,073.82, 328,528.10 and 76,875.08 is: 115,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,073.82 : 328,528.10 = 76,875.08 : x
  2. Step 2: Convert to fraction form
    219,073.82/328,528.10 = 76,875.08/x
  3. Step 3: Cross multiply
    219,073.82x = 328,528.10 × 76,875.08
  4. Step 4: Simplify right side
    219,073.82x = 25,255,623,969.75
  5. Step 5: Solve for x
    x = 25,255,623,969.75/219,073.82
  6. Step 6: Final answer
    x = 115,283.62

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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.