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Finding the Fourth Proportional to 72,348.75, 108,518.93 and 21,746.69

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Solution

The fourth proportional to 72,348.75, 108,518.93 and 21,746.69 is: 32,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,348.75 : 108,518.93 = 21,746.69 : x
  2. Step 2: Convert to fraction form
    72,348.75/108,518.93 = 21,746.69/x
  3. Step 3: Cross multiply
    72,348.75x = 108,518.93 × 21,746.69
  4. Step 4: Simplify right side
    72,348.75x = 2,359,926,878.51
  5. Step 5: Solve for x
    x = 2,359,926,878.51/72,348.75
  6. Step 6: Final answer
    x = 32,618.77

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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.