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Finding the Fourth Proportional to 77,625.68, 107,038.68 and 52,431.44

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Solution

The fourth proportional to 77,625.68, 107,038.68 and 52,431.44 is: 72,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,625.68 : 107,038.68 = 52,431.44 : x
  2. Step 2: Convert to fraction form
    77,625.68/107,038.68 = 52,431.44/x
  3. Step 3: Cross multiply
    77,625.68x = 107,038.68 × 52,431.44
  4. Step 4: Simplify right side
    77,625.68x = 5,612,192,128.10
  5. Step 5: Solve for x
    x = 5,612,192,128.10/77,625.68
  6. Step 6: Final answer
    x = 72,298.14

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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.