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Finding the Fourth Proportional to 72,100.40, 108,158.49 and 29,985.46

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Solution

The fourth proportional to 72,100.40, 108,158.49 and 29,985.46 is: 44,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,100.40 : 108,158.49 = 29,985.46 : x
  2. Step 2: Convert to fraction form
    72,100.40/108,158.49 = 29,985.46/x
  3. Step 3: Cross multiply
    72,100.40x = 108,158.49 × 29,985.46
  4. Step 4: Simplify right side
    72,100.40x = 3,243,181,805.16
  5. Step 5: Solve for x
    x = 3,243,181,805.16/72,100.40
  6. Step 6: Final answer
    x = 44,981.47

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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.