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Finding the Fourth Proportional to 267,480, 401,127.12 and 77,888.88

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Solution

The fourth proportional to 267,480, 401,127.12 and 77,888.88 is: 116,806.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,480 : 401,127.12 = 77,888.88 : x
  2. Step 2: Convert to fraction form
    267,480/401,127.12 = 77,888.88/x
  3. Step 3: Cross multiply
    267,480x = 401,127.12 × 77,888.88
  4. Step 4: Simplify right side
    267,480x = 31,243,342,114.43
  5. Step 5: Solve for x
    x = 31,243,342,114.43/267,480
  6. Step 6: Final answer
    x = 116,806.27

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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.