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Finding the Fourth Proportional to 76,686.72, 115,059.36 and 29,972.16

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Solution

The fourth proportional to 76,686.72, 115,059.36 and 29,972.16 is: 44,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,686.72 : 115,059.36 = 29,972.16 : x
  2. Step 2: Convert to fraction form
    76,686.72/115,059.36 = 29,972.16/x
  3. Step 3: Cross multiply
    76,686.72x = 115,059.36 × 29,972.16
  4. Step 4: Simplify right side
    76,686.72x = 3,448,577,547.42
  5. Step 5: Solve for x
    x = 3,448,577,547.42/76,686.72
  6. Step 6: Final answer
    x = 44,969.68

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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.