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Finding the Fourth Proportional to 145,476.41, 200,733.98 and 81,810.41

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Solution

The fourth proportional to 145,476.41, 200,733.98 and 81,810.41 is: 112,885.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,476.41 : 200,733.98 = 81,810.41 : x
  2. Step 2: Convert to fraction form
    145,476.41/200,733.98 = 81,810.41/x
  3. Step 3: Cross multiply
    145,476.41x = 200,733.98 × 81,810.41
  4. Step 4: Simplify right side
    145,476.41x = 16,422,127,792.01
  5. Step 5: Solve for x
    x = 16,422,127,792.01/145,476.41
  6. Step 6: Final answer
    x = 112,885.16

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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.