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Finding the Fourth Proportional to 76,776.12, 114,949.08 and 57,997.08

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Solution

The fourth proportional to 76,776.12, 114,949.08 and 57,997.08 is: 86,833.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,776.12 : 114,949.08 = 57,997.08 : x
  2. Step 2: Convert to fraction form
    76,776.12/114,949.08 = 57,997.08/x
  3. Step 3: Cross multiply
    76,776.12x = 114,949.08 × 57,997.08
  4. Step 4: Simplify right side
    76,776.12x = 6,666,710,988.69
  5. Step 5: Solve for x
    x = 6,666,710,988.69/76,776.12
  6. Step 6: Final answer
    x = 86,833.13

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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.