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Finding the Fourth Proportional to 77,775.84, 107,232 and 59,647.68

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Solution

The fourth proportional to 77,775.84, 107,232 and 59,647.68 is: 82,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,775.84 : 107,232 = 59,647.68 : x
  2. Step 2: Convert to fraction form
    77,775.84/107,232 = 59,647.68/x
  3. Step 3: Cross multiply
    77,775.84x = 107,232 × 59,647.68
  4. Step 4: Simplify right side
    77,775.84x = 6,396,140,021.76
  5. Step 5: Solve for x
    x = 6,396,140,021.76/77,775.84
  6. Step 6: Final answer
    x = 82,238.13

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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.