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Finding the Fourth Proportional to 137,423.16, 205,719.78 and 124,281.72

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Solution

The fourth proportional to 137,423.16, 205,719.78 and 124,281.72 is: 186,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,423.16 : 205,719.78 = 124,281.72 : x
  2. Step 2: Convert to fraction form
    137,423.16/205,719.78 = 124,281.72/x
  3. Step 3: Cross multiply
    137,423.16x = 205,719.78 × 124,281.72
  4. Step 4: Simplify right side
    137,423.16x = 25,567,208,096.42
  5. Step 5: Solve for x
    x = 25,567,208,096.42/137,423.16
  6. Step 6: Final answer
    x = 186,047.30

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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.