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Finding the Fourth Proportional to 137,312.88, 205,988.80 and 42,550.50

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Solution

The fourth proportional to 137,312.88, 205,988.80 and 42,550.50 is: 63,831.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,312.88 : 205,988.80 = 42,550.50 : x
  2. Step 2: Convert to fraction form
    137,312.88/205,988.80 = 42,550.50/x
  3. Step 3: Cross multiply
    137,312.88x = 205,988.80 × 42,550.50
  4. Step 4: Simplify right side
    137,312.88x = 8,764,926,434.40
  5. Step 5: Solve for x
    x = 8,764,926,434.40/137,312.88
  6. Step 6: Final answer
    x = 63,831.79

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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.