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Finding the Fourth Proportional to 176,768, 243,939.88 and 97,280

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Solution

The fourth proportional to 176,768, 243,939.88 and 97,280 is: 134,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,768 : 243,939.88 = 97,280 : x
  2. Step 2: Convert to fraction form
    176,768/243,939.88 = 97,280/x
  3. Step 3: Cross multiply
    176,768x = 243,939.88 × 97,280
  4. Step 4: Simplify right side
    176,768x = 23,730,471,526.40
  5. Step 5: Solve for x
    x = 23,730,471,526.40/176,768
  6. Step 6: Final answer
    x = 134,246.42

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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.