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Finding the Fourth Proportional to 137,218.40, 205,856.40 and 42,440.80

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Solution

The fourth proportional to 137,218.40, 205,856.40 and 42,440.80 is: 63,670.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,218.40 : 205,856.40 = 42,440.80 : x
  2. Step 2: Convert to fraction form
    137,218.40/205,856.40 = 42,440.80/x
  3. Step 3: Cross multiply
    137,218.40x = 205,856.40 × 42,440.80
  4. Step 4: Simplify right side
    137,218.40x = 8,736,710,301.12
  5. Step 5: Solve for x
    x = 8,736,710,301.12/137,218.40
  6. Step 6: Final answer
    x = 63,670.11

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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.