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Finding the Fourth Proportional to 136,065.40, 204,068.94 and 42,559

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Solution

The fourth proportional to 136,065.40, 204,068.94 and 42,559 is: 63,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,065.40 : 204,068.94 = 42,559 : x
  2. Step 2: Convert to fraction form
    136,065.40/204,068.94 = 42,559/x
  3. Step 3: Cross multiply
    136,065.40x = 204,068.94 × 42,559
  4. Step 4: Simplify right side
    136,065.40x = 8,684,970,017.46
  5. Step 5: Solve for x
    x = 8,684,970,017.46/136,065.40
  6. Step 6: Final answer
    x = 63,829.38

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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.