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Finding the Fourth Proportional to 72,488.16, 108,712.44 and 19,885.14

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Solution

The fourth proportional to 72,488.16, 108,712.44 and 19,885.14 is: 29,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,488.16 : 108,712.44 = 19,885.14 : x
  2. Step 2: Convert to fraction form
    72,488.16/108,712.44 = 19,885.14/x
  3. Step 3: Cross multiply
    72,488.16x = 108,712.44 × 19,885.14
  4. Step 4: Simplify right side
    72,488.16x = 2,161,762,089.14
  5. Step 5: Solve for x
    x = 2,161,762,089.14/72,488.16
  6. Step 6: Final answer
    x = 29,822.28

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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.