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Finding the Fourth Proportional to 178,203, 245,920.14 and 98,715

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Solution

The fourth proportional to 178,203, 245,920.14 and 98,715 is: 136,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,203 : 245,920.14 = 98,715 : x
  2. Step 2: Convert to fraction form
    178,203/245,920.14 = 98,715/x
  3. Step 3: Cross multiply
    178,203x = 245,920.14 × 98,715
  4. Step 4: Simplify right side
    178,203x = 24,276,006,620.10
  5. Step 5: Solve for x
    x = 24,276,006,620.10/178,203
  6. Step 6: Final answer
    x = 136,226.70

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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.