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Finding the Fourth Proportional to 145,196.94, 200,360.88 and 81,522.60

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Solution

The fourth proportional to 145,196.94, 200,360.88 and 81,522.60 is: 112,495.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,196.94 : 200,360.88 = 81,522.60 : x
  2. Step 2: Convert to fraction form
    145,196.94/200,360.88 = 81,522.60/x
  3. Step 3: Cross multiply
    145,196.94x = 200,360.88 × 81,522.60
  4. Step 4: Simplify right side
    145,196.94x = 16,333,939,875.89
  5. Step 5: Solve for x
    x = 16,333,939,875.89/145,196.94
  6. Step 6: Final answer
    x = 112,495.07

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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.