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Finding the Fourth Proportional to 133,885.66, 200,829.18 and 45,139.93

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Solution

The fourth proportional to 133,885.66, 200,829.18 and 45,139.93 is: 67,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,885.66 : 200,829.18 = 45,139.93 : x
  2. Step 2: Convert to fraction form
    133,885.66/200,829.18 = 45,139.93/x
  3. Step 3: Cross multiply
    133,885.66x = 200,829.18 × 45,139.93
  4. Step 4: Simplify right side
    133,885.66x = 9,065,415,127.16
  5. Step 5: Solve for x
    x = 9,065,415,127.16/133,885.66
  6. Step 6: Final answer
    x = 67,710.13

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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.