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Finding the Fourth Proportional to 52,071, 78,130.30 and 28,343

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Solution

The fourth proportional to 52,071, 78,130.30 and 28,343 is: 42,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,071 : 78,130.30 = 28,343 : x
  2. Step 2: Convert to fraction form
    52,071/78,130.30 = 28,343/x
  3. Step 3: Cross multiply
    52,071x = 78,130.30 × 28,343
  4. Step 4: Simplify right side
    52,071x = 2,214,447,092.90
  5. Step 5: Solve for x
    x = 2,214,447,092.90/52,071
  6. Step 6: Final answer
    x = 42,527.45

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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.