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Finding the Fourth Proportional to 52,636, 72,637.68 and 30,280

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Solution

The fourth proportional to 52,636, 72,637.68 and 30,280 is: 41,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,636 : 72,637.68 = 30,280 : x
  2. Step 2: Convert to fraction form
    52,636/72,637.68 = 30,280/x
  3. Step 3: Cross multiply
    52,636x = 72,637.68 × 30,280
  4. Step 4: Simplify right side
    52,636x = 2,199,468,950.40
  5. Step 5: Solve for x
    x = 2,199,468,950.40/52,636
  6. Step 6: Final answer
    x = 41,786.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.