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Finding the Fourth Proportional to 133,091.16, 183,866.12 and 87,259.72

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Solution

The fourth proportional to 133,091.16, 183,866.12 and 87,259.72 is: 120,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,091.16 : 183,866.12 = 87,259.72 : x
  2. Step 2: Convert to fraction form
    133,091.16/183,866.12 = 87,259.72/x
  3. Step 3: Cross multiply
    133,091.16x = 183,866.12 × 87,259.72
  4. Step 4: Simplify right side
    133,091.16x = 16,044,106,148.69
  5. Step 5: Solve for x
    x = 16,044,106,148.69/133,091.16
  6. Step 6: Final answer
    x = 120,549.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.