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Finding the Fourth Proportional to 72,698.50, 109,047.75 and 19,390.65

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Solution

The fourth proportional to 72,698.50, 109,047.75 and 19,390.65 is: 29,085.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,698.50 : 109,047.75 = 19,390.65 : x
  2. Step 2: Convert to fraction form
    72,698.50/109,047.75 = 19,390.65/x
  3. Step 3: Cross multiply
    72,698.50x = 109,047.75 × 19,390.65
  4. Step 4: Simplify right side
    72,698.50x = 2,114,506,753.54
  5. Step 5: Solve for x
    x = 2,114,506,753.54/72,698.50
  6. Step 6: Final answer
    x = 29,085.98

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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.