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Finding the Fourth Proportional to 103,409.40, 142,718.40 and 63,114.78

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Solution

The fourth proportional to 103,409.40, 142,718.40 and 63,114.78 is: 87,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,409.40 : 142,718.40 = 63,114.78 : x
  2. Step 2: Convert to fraction form
    103,409.40/142,718.40 = 63,114.78/x
  3. Step 3: Cross multiply
    103,409.40x = 142,718.40 × 63,114.78
  4. Step 4: Simplify right side
    103,409.40x = 9,007,640,417.95
  5. Step 5: Solve for x
    x = 9,007,640,417.95/103,409.40
  6. Step 6: Final answer
    x = 87,106.59

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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.