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Finding the Fourth Proportional to 72,417.16, 108,625.47 and 19,830.61

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Solution

The fourth proportional to 72,417.16, 108,625.47 and 19,830.61 is: 29,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,417.16 : 108,625.47 = 19,830.61 : x
  2. Step 2: Convert to fraction form
    72,417.16/108,625.47 = 19,830.61/x
  3. Step 3: Cross multiply
    72,417.16x = 108,625.47 × 19,830.61
  4. Step 4: Simplify right side
    72,417.16x = 2,154,109,331.64
  5. Step 5: Solve for x
    x = 2,154,109,331.64/72,417.16
  6. Step 6: Final answer
    x = 29,745.84

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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.