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Finding the Fourth Proportional to 78,412.54, 108,214.65 and 44,421.30

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Solution

The fourth proportional to 78,412.54, 108,214.65 and 44,421.30 is: 61,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,412.54 : 108,214.65 = 44,421.30 : x
  2. Step 2: Convert to fraction form
    78,412.54/108,214.65 = 44,421.30/x
  3. Step 3: Cross multiply
    78,412.54x = 108,214.65 × 44,421.30
  4. Step 4: Simplify right side
    78,412.54x = 4,807,035,092.47
  5. Step 5: Solve for x
    x = 4,807,035,092.47/78,412.54
  6. Step 6: Final answer
    x = 61,304.41

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1.5x scale

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.