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Finding the Fourth Proportional to 64,854, 97,283.99 and 19,872.14

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Solution

The fourth proportional to 64,854, 97,283.99 and 19,872.14 is: 29,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,854 : 97,283.99 = 19,872.14 : x
  2. Step 2: Convert to fraction form
    64,854/97,283.99 = 19,872.14/x
  3. Step 3: Cross multiply
    64,854x = 97,283.99 × 19,872.14
  4. Step 4: Simplify right side
    64,854x = 1,933,240,483.26
  5. Step 5: Solve for x
    x = 1,933,240,483.26/64,854
  6. Step 6: Final answer
    x = 29,809.12

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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.