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Finding the Fourth Proportional to 64,900.62, 97,316.19 and 19,914.06

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Solution

The fourth proportional to 64,900.62, 97,316.19 and 19,914.06 is: 29,860.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,900.62 : 97,316.19 = 19,914.06 : x
  2. Step 2: Convert to fraction form
    64,900.62/97,316.19 = 19,914.06/x
  3. Step 3: Cross multiply
    64,900.62x = 97,316.19 × 19,914.06
  4. Step 4: Simplify right side
    64,900.62x = 1,937,960,446.63
  5. Step 5: Solve for x
    x = 1,937,960,446.63/64,900.62
  6. Step 6: Final answer
    x = 29,860.43

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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.