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Finding the Fourth Proportional to 72,698.60, 109,047.54 and 19,390.46

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Solution

The fourth proportional to 72,698.60, 109,047.54 and 19,390.46 is: 29,085.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,698.60 : 109,047.54 = 19,390.46 : x
  2. Step 2: Convert to fraction form
    72,698.60/109,047.54 = 19,390.46/x
  3. Step 3: Cross multiply
    72,698.60x = 109,047.54 × 19,390.46
  4. Step 4: Simplify right side
    72,698.60x = 2,114,481,962.47
  5. Step 5: Solve for x
    x = 2,114,481,962.47/72,698.60
  6. Step 6: Final answer
    x = 29,085.59

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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.