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Finding the Fourth Proportional to 178,139.84, 245,771.94 and 101,603.64

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Solution

The fourth proportional to 178,139.84, 245,771.94 and 101,603.64 is: 140,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,139.84 : 245,771.94 = 101,603.64 : x
  2. Step 2: Convert to fraction form
    178,139.84/245,771.94 = 101,603.64/x
  3. Step 3: Cross multiply
    178,139.84x = 245,771.94 × 101,603.64
  4. Step 4: Simplify right side
    178,139.84x = 24,971,323,713.86
  5. Step 5: Solve for x
    x = 24,971,323,713.86/178,139.84
  6. Step 6: Final answer
    x = 140,178.21

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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.