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Finding the Fourth Proportional to 76,756.80, 105,980.16 and 66,128.16

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Solution

The fourth proportional to 76,756.80, 105,980.16 and 66,128.16 is: 91,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,756.80 : 105,980.16 = 66,128.16 : x
  2. Step 2: Convert to fraction form
    76,756.80/105,980.16 = 66,128.16/x
  3. Step 3: Cross multiply
    76,756.80x = 105,980.16 × 66,128.16
  4. Step 4: Simplify right side
    76,756.80x = 7,008,272,977.31
  5. Step 5: Solve for x
    x = 7,008,272,977.31/76,756.80
  6. Step 6: Final answer
    x = 91,304.91

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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.