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Finding the Fourth Proportional to 177,352, 266,078 and 72,246.40

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Solution

The fourth proportional to 177,352, 266,078 and 72,246.40 is: 108,389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,352 : 266,078 = 72,246.40 : x
  2. Step 2: Convert to fraction form
    177,352/266,078 = 72,246.40/x
  3. Step 3: Cross multiply
    177,352x = 266,078 × 72,246.40
  4. Step 4: Simplify right side
    177,352x = 19,223,177,619.20
  5. Step 5: Solve for x
    x = 19,223,177,619.20/177,352
  6. Step 6: Final answer
    x = 108,389.97

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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.