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Finding the Fourth Proportional to 77,347.80, 116,021.70 and 57,664.80

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Solution

The fourth proportional to 77,347.80, 116,021.70 and 57,664.80 is: 86,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,347.80 : 116,021.70 = 57,664.80 : x
  2. Step 2: Convert to fraction form
    77,347.80/116,021.70 = 57,664.80/x
  3. Step 3: Cross multiply
    77,347.80x = 116,021.70 × 57,664.80
  4. Step 4: Simplify right side
    77,347.80x = 6,690,368,126.16
  5. Step 5: Solve for x
    x = 6,690,368,126.16/77,347.80
  6. Step 6: Final answer
    x = 86,497.20

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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.