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Finding the Fourth Proportional to 52,392, 78,602.40 and 15,456

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Solution

The fourth proportional to 52,392, 78,602.40 and 15,456 is: 23,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,392 : 78,602.40 = 15,456 : x
  2. Step 2: Convert to fraction form
    52,392/78,602.40 = 15,456/x
  3. Step 3: Cross multiply
    52,392x = 78,602.40 × 15,456
  4. Step 4: Simplify right side
    52,392x = 1,214,878,694.40
  5. Step 5: Solve for x
    x = 1,214,878,694.40/52,392
  6. Step 6: Final answer
    x = 23,188.25

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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.