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Finding the Fourth Proportional to 257,068.64, 385,591.60 and 70,080.16

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Solution

The fourth proportional to 257,068.64, 385,591.60 and 70,080.16 is: 105,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,068.64 : 385,591.60 = 70,080.16 : x
  2. Step 2: Convert to fraction form
    257,068.64/385,591.60 = 70,080.16/x
  3. Step 3: Cross multiply
    257,068.64x = 385,591.60 × 70,080.16
  4. Step 4: Simplify right side
    257,068.64x = 27,022,321,022.66
  5. Step 5: Solve for x
    x = 27,022,321,022.66/257,068.64
  6. Step 6: Final answer
    x = 105,117.14

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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.