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Finding the Fourth Proportional to 277,655.83, 416,397.53 and 100,139.76

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Solution

The fourth proportional to 277,655.83, 416,397.53 and 100,139.76 is: 150,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,655.83 : 416,397.53 = 100,139.76 : x
  2. Step 2: Convert to fraction form
    277,655.83/416,397.53 = 100,139.76/x
  3. Step 3: Cross multiply
    277,655.83x = 416,397.53 × 100,139.76
  4. Step 4: Simplify right side
    277,655.83x = 41,697,948,969.14
  5. Step 5: Solve for x
    x = 41,697,948,969.14/277,655.83
  6. Step 6: Final answer
    x = 150,178.55

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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.