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Finding the Fourth Proportional to 178,483.11, 267,806.36 and 77,312.08

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Solution

The fourth proportional to 178,483.11, 267,806.36 and 77,312.08 is: 116,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,483.11 : 267,806.36 = 77,312.08 : x
  2. Step 2: Convert to fraction form
    178,483.11/267,806.36 = 77,312.08/x
  3. Step 3: Cross multiply
    178,483.11x = 267,806.36 × 77,312.08
  4. Step 4: Simplify right side
    178,483.11x = 20,704,666,728.83
  5. Step 5: Solve for x
    x = 20,704,666,728.83/178,483.11
  6. Step 6: Final answer
    x = 116,003.51

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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.