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Finding the Fourth Proportional to 78,287.64, 108,056.16 and 48,080.16

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Solution

The fourth proportional to 78,287.64, 108,056.16 and 48,080.16 is: 66,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,287.64 : 108,056.16 = 48,080.16 : x
  2. Step 2: Convert to fraction form
    78,287.64/108,056.16 = 48,080.16/x
  3. Step 3: Cross multiply
    78,287.64x = 108,056.16 × 48,080.16
  4. Step 4: Simplify right side
    78,287.64x = 5,195,357,461.79
  5. Step 5: Solve for x
    x = 5,195,357,461.79/78,287.64
  6. Step 6: Final answer
    x = 66,362.42

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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.