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Finding the Fourth Proportional to 52,208.32, 78,312 and 12,765.60

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Solution

The fourth proportional to 52,208.32, 78,312 and 12,765.60 is: 19,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,208.32 : 78,312 = 12,765.60 : x
  2. Step 2: Convert to fraction form
    52,208.32/78,312 = 12,765.60/x
  3. Step 3: Cross multiply
    52,208.32x = 78,312 × 12,765.60
  4. Step 4: Simplify right side
    52,208.32x = 999,699,667.20
  5. Step 5: Solve for x
    x = 999,699,667.20/52,208.32
  6. Step 6: Final answer
    x = 19,148.28

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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.