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Finding the Fourth Proportional to 52,258.86, 78,388.14 and 18,978.79

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Solution

The fourth proportional to 52,258.86, 78,388.14 and 18,978.79 is: 28,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,258.86 : 78,388.14 = 18,978.79 : x
  2. Step 2: Convert to fraction form
    52,258.86/78,388.14 = 18,978.79/x
  3. Step 3: Cross multiply
    52,258.86x = 78,388.14 × 18,978.79
  4. Step 4: Simplify right side
    52,258.86x = 1,487,712,047.55
  5. Step 5: Solve for x
    x = 1,487,712,047.55/52,258.86
  6. Step 6: Final answer
    x = 28,468.13

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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.