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Finding the Fourth Proportional to 78,211.64, 107,932.59 and 42,402.21

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Solution

The fourth proportional to 78,211.64, 107,932.59 and 42,402.21 is: 58,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,211.64 : 107,932.59 = 42,402.21 : x
  2. Step 2: Convert to fraction form
    78,211.64/107,932.59 = 42,402.21/x
  3. Step 3: Cross multiply
    78,211.64x = 107,932.59 × 42,402.21
  4. Step 4: Simplify right side
    78,211.64x = 4,576,580,347.02
  5. Step 5: Solve for x
    x = 4,576,580,347.02/78,211.64
  6. Step 6: Final answer
    x = 58,515.34

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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.