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Finding the Fourth Proportional to 136,649.91, 205,038.18 and 52,381.92

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Solution

The fourth proportional to 136,649.91, 205,038.18 and 52,381.92 is: 78,597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,649.91 : 205,038.18 = 52,381.92 : x
  2. Step 2: Convert to fraction form
    136,649.91/205,038.18 = 52,381.92/x
  3. Step 3: Cross multiply
    136,649.91x = 205,038.18 × 52,381.92
  4. Step 4: Simplify right side
    136,649.91x = 10,740,293,541.71
  5. Step 5: Solve for x
    x = 10,740,293,541.71/136,649.91
  6. Step 6: Final answer
    x = 78,597.15

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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.