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Finding the Fourth Proportional to 153,855.50, 212,320.86 and 86,787.50

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Solution

The fourth proportional to 153,855.50, 212,320.86 and 86,787.50 is: 119,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,855.50 : 212,320.86 = 86,787.50 : x
  2. Step 2: Convert to fraction form
    153,855.50/212,320.86 = 86,787.50/x
  3. Step 3: Cross multiply
    153,855.50x = 212,320.86 × 86,787.50
  4. Step 4: Simplify right side
    153,855.50x = 18,426,796,637.25
  5. Step 5: Solve for x
    x = 18,426,796,637.25/153,855.50
  6. Step 6: Final answer
    x = 119,766.90

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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.