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Finding the Fourth Proportional to 97,814.60, 146,721.90 and 66,321.80

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Solution

The fourth proportional to 97,814.60, 146,721.90 and 66,321.80 is: 99,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,814.60 : 146,721.90 = 66,321.80 : x
  2. Step 2: Convert to fraction form
    97,814.60/146,721.90 = 66,321.80/x
  3. Step 3: Cross multiply
    97,814.60x = 146,721.90 × 66,321.80
  4. Step 4: Simplify right side
    97,814.60x = 9,730,860,507.42
  5. Step 5: Solve for x
    x = 9,730,860,507.42/97,814.60
  6. Step 6: Final answer
    x = 99,482.70

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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.