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Finding the Fourth Proportional to 267,137.28, 400,643.01 and 77,547.60

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Solution

The fourth proportional to 267,137.28, 400,643.01 and 77,547.60 is: 116,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,137.28 : 400,643.01 = 77,547.60 : x
  2. Step 2: Convert to fraction form
    267,137.28/400,643.01 = 77,547.60/x
  3. Step 3: Cross multiply
    267,137.28x = 400,643.01 × 77,547.60
  4. Step 4: Simplify right side
    267,137.28x = 31,068,903,882.28
  5. Step 5: Solve for x
    x = 31,068,903,882.28/267,137.28
  6. Step 6: Final answer
    x = 116,303.14

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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.