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Finding the Fourth Proportional to 178,011.31, 245,655.42 and 97,438.11

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Solution

The fourth proportional to 178,011.31, 245,655.42 and 97,438.11 is: 134,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,011.31 : 245,655.42 = 97,438.11 : x
  2. Step 2: Convert to fraction form
    178,011.31/245,655.42 = 97,438.11/x
  3. Step 3: Cross multiply
    178,011.31x = 245,655.42 × 97,438.11
  4. Step 4: Simplify right side
    178,011.31x = 23,936,199,836.06
  5. Step 5: Solve for x
    x = 23,936,199,836.06/178,011.31
  6. Step 6: Final answer
    x = 134,464.49

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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.