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Finding the Fourth Proportional to 137,036.88, 205,405.16 and 70,480.52

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Solution

The fourth proportional to 137,036.88, 205,405.16 and 70,480.52 is: 105,643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,036.88 : 205,405.16 = 70,480.52 : x
  2. Step 2: Convert to fraction form
    137,036.88/205,405.16 = 70,480.52/x
  3. Step 3: Cross multiply
    137,036.88x = 205,405.16 × 70,480.52
  4. Step 4: Simplify right side
    137,036.88x = 14,477,062,487.48
  5. Step 5: Solve for x
    x = 14,477,062,487.48/137,036.88
  6. Step 6: Final answer
    x = 105,643.55

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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.