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Finding the Fourth Proportional to 178,141.40, 266,985.30 and 72,841.40

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Solution

The fourth proportional to 178,141.40, 266,985.30 and 72,841.40 is: 109,169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,141.40 : 266,985.30 = 72,841.40 : x
  2. Step 2: Convert to fraction form
    178,141.40/266,985.30 = 72,841.40/x
  3. Step 3: Cross multiply
    178,141.40x = 266,985.30 × 72,841.40
  4. Step 4: Simplify right side
    178,141.40x = 19,447,583,031.42
  5. Step 5: Solve for x
    x = 19,447,583,031.42/178,141.40
  6. Step 6: Final answer
    x = 109,169.36

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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.