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Finding the Fourth Proportional to 52,875, 72,967.50 and 30,519

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Solution

The fourth proportional to 52,875, 72,967.50 and 30,519 is: 42,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,875 : 72,967.50 = 30,519 : x
  2. Step 2: Convert to fraction form
    52,875/72,967.50 = 30,519/x
  3. Step 3: Cross multiply
    52,875x = 72,967.50 × 30,519
  4. Step 4: Simplify right side
    52,875x = 2,226,895,132.50
  5. Step 5: Solve for x
    x = 2,226,895,132.50/52,875
  6. Step 6: Final answer
    x = 42,116.22

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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.