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Finding the Fourth Proportional to 301,959.42, 452,657.54 and 102,140.78

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Solution

The fourth proportional to 301,959.42, 452,657.54 and 102,140.78 is: 153,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,959.42 : 452,657.54 = 102,140.78 : x
  2. Step 2: Convert to fraction form
    301,959.42/452,657.54 = 102,140.78/x
  3. Step 3: Cross multiply
    301,959.42x = 452,657.54 × 102,140.78
  4. Step 4: Simplify right side
    301,959.42x = 46,234,791,434.49
  5. Step 5: Solve for x
    x = 46,234,791,434.49/301,959.42
  6. Step 6: Final answer
    x = 153,115.91

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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.