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Finding the Fourth Proportional to 65,281.98, 97,903.45 and 19,687.77

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Solution

The fourth proportional to 65,281.98, 97,903.45 and 19,687.77 is: 29,525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,281.98 : 97,903.45 = 19,687.77 : x
  2. Step 2: Convert to fraction form
    65,281.98/97,903.45 = 19,687.77/x
  3. Step 3: Cross multiply
    65,281.98x = 97,903.45 × 19,687.77
  4. Step 4: Simplify right side
    65,281.98x = 1,927,500,623.59
  5. Step 5: Solve for x
    x = 1,927,500,623.59/65,281.98
  6. Step 6: Final answer
    x = 29,525.77

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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.