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Finding the Fourth Proportional to 78,135.56, 107,827.06 and 42,325.80

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Solution

The fourth proportional to 78,135.56, 107,827.06 and 42,325.80 is: 58,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,135.56 : 107,827.06 = 42,325.80 : x
  2. Step 2: Convert to fraction form
    78,135.56/107,827.06 = 42,325.80/x
  3. Step 3: Cross multiply
    78,135.56x = 107,827.06 × 42,325.80
  4. Step 4: Simplify right side
    78,135.56x = 4,563,866,576.15
  5. Step 5: Solve for x
    x = 4,563,866,576.15/78,135.56
  6. Step 6: Final answer
    x = 58,409.60

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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.