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Finding the Fourth Proportional to 103,657.64, 143,039.70 and 61,208

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Solution

The fourth proportional to 103,657.64, 143,039.70 and 61,208 is: 84,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,657.64 : 143,039.70 = 61,208 : x
  2. Step 2: Convert to fraction form
    103,657.64/143,039.70 = 61,208/x
  3. Step 3: Cross multiply
    103,657.64x = 143,039.70 × 61,208
  4. Step 4: Simplify right side
    103,657.64x = 8,755,173,957.60
  5. Step 5: Solve for x
    x = 8,755,173,957.60/103,657.64
  6. Step 6: Final answer
    x = 84,462.41

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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.