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Finding the Fourth Proportional to 153,803.67, 212,248.80 and 85,816.50

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Solution

The fourth proportional to 153,803.67, 212,248.80 and 85,816.50 is: 118,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,803.67 : 212,248.80 = 85,816.50 : x
  2. Step 2: Convert to fraction form
    153,803.67/212,248.80 = 85,816.50/x
  3. Step 3: Cross multiply
    153,803.67x = 212,248.80 × 85,816.50
  4. Step 4: Simplify right side
    153,803.67x = 18,214,449,145.20
  5. Step 5: Solve for x
    x = 18,214,449,145.20/153,803.67
  6. Step 6: Final answer
    x = 118,426.62

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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.