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Finding the Fourth Proportional to 133,136.98, 183,730.49 and 72,709.40

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Solution

The fourth proportional to 133,136.98, 183,730.49 and 72,709.40 is: 100,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,136.98 : 183,730.49 = 72,709.40 : x
  2. Step 2: Convert to fraction form
    133,136.98/183,730.49 = 72,709.40/x
  3. Step 3: Cross multiply
    133,136.98x = 183,730.49 × 72,709.40
  4. Step 4: Simplify right side
    133,136.98x = 13,358,933,938.20
  5. Step 5: Solve for x
    x = 13,358,933,938.20/133,136.98
  6. Step 6: Final answer
    x = 100,339.77

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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.