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Finding the Fourth Proportional to 219,153.16, 328,602.94 and 85,877.36

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Solution

The fourth proportional to 219,153.16, 328,602.94 and 85,877.36 is: 128,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,153.16 : 328,602.94 = 85,877.36 : x
  2. Step 2: Convert to fraction form
    219,153.16/328,602.94 = 85,877.36/x
  3. Step 3: Cross multiply
    219,153.16x = 328,602.94 × 85,877.36
  4. Step 4: Simplify right side
    219,153.16x = 28,219,552,975.44
  5. Step 5: Solve for x
    x = 28,219,552,975.44/219,153.16
  6. Step 6: Final answer
    x = 128,766.35

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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.