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Finding the Fourth Proportional to 52,377, 72,280.26 and 30,021

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Solution

The fourth proportional to 52,377, 72,280.26 and 30,021 is: 41,428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,377 : 72,280.26 = 30,021 : x
  2. Step 2: Convert to fraction form
    52,377/72,280.26 = 30,021/x
  3. Step 3: Cross multiply
    52,377x = 72,280.26 × 30,021
  4. Step 4: Simplify right side
    52,377x = 2,169,925,685.46
  5. Step 5: Solve for x
    x = 2,169,925,685.46/52,377
  6. Step 6: Final answer
    x = 41,428.98

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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.