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Finding the Fourth Proportional to 208,644.76, 312,967.14 and 97,810.84

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Solution

The fourth proportional to 208,644.76, 312,967.14 and 97,810.84 is: 146,716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,644.76 : 312,967.14 = 97,810.84 : x
  2. Step 2: Convert to fraction form
    208,644.76/312,967.14 = 97,810.84/x
  3. Step 3: Cross multiply
    208,644.76x = 312,967.14 × 97,810.84
  4. Step 4: Simplify right side
    208,644.76x = 30,611,578,855.80
  5. Step 5: Solve for x
    x = 30,611,578,855.80/208,644.76
  6. Step 6: Final answer
    x = 146,716.26

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1.5x scale

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.