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Finding the Fourth Proportional to 77,103.76, 115,655.68 and 21,699.76

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Solution

The fourth proportional to 77,103.76, 115,655.68 and 21,699.76 is: 32,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,103.76 : 115,655.68 = 21,699.76 : x
  2. Step 2: Convert to fraction form
    77,103.76/115,655.68 = 21,699.76/x
  3. Step 3: Cross multiply
    77,103.76x = 115,655.68 × 21,699.76
  4. Step 4: Simplify right side
    77,103.76x = 2,509,700,498.64
  5. Step 5: Solve for x
    x = 2,509,700,498.64/77,103.76
  6. Step 6: Final answer
    x = 32,549.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.