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Finding the Fourth Proportional to 137,218.76, 205,495.95 and 94,980.50

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Solution

The fourth proportional to 137,218.76, 205,495.95 and 94,980.50 is: 142,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,218.76 : 205,495.95 = 94,980.50 : x
  2. Step 2: Convert to fraction form
    137,218.76/205,495.95 = 94,980.50/x
  3. Step 3: Cross multiply
    137,218.76x = 205,495.95 × 94,980.50
  4. Step 4: Simplify right side
    137,218.76x = 19,518,108,592.71
  5. Step 5: Solve for x
    x = 19,518,108,592.71/137,218.76
  6. Step 6: Final answer
    x = 142,240.81

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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.