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Finding the Fourth Proportional to 52,371, 72,281.70 and 30,015

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Solution

The fourth proportional to 52,371, 72,281.70 and 30,015 is: 41,426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,371 : 72,281.70 = 30,015 : x
  2. Step 2: Convert to fraction form
    52,371/72,281.70 = 30,015/x
  3. Step 3: Cross multiply
    52,371x = 72,281.70 × 30,015
  4. Step 4: Simplify right side
    52,371x = 2,169,535,225.50
  5. Step 5: Solve for x
    x = 2,169,535,225.50/52,371
  6. Step 6: Final answer
    x = 41,426.27

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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.