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Finding the Fourth Proportional to 219,156.48, 328,677.12 and 78,888.96

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Solution

The fourth proportional to 219,156.48, 328,677.12 and 78,888.96 is: 118,312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,156.48 : 328,677.12 = 78,888.96 : x
  2. Step 2: Convert to fraction form
    219,156.48/328,677.12 = 78,888.96/x
  3. Step 3: Cross multiply
    219,156.48x = 328,677.12 × 78,888.96
  4. Step 4: Simplify right side
    219,156.48x = 25,928,996,172.60
  5. Step 5: Solve for x
    x = 25,928,996,172.60/219,156.48
  6. Step 6: Final answer
    x = 118,312.71

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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.