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Finding the Fourth Proportional to 145,156.80, 200,302.56 and 81,480

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Solution

The fourth proportional to 145,156.80, 200,302.56 and 81,480 is: 112,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,156.80 : 200,302.56 = 81,480 : x
  2. Step 2: Convert to fraction form
    145,156.80/200,302.56 = 81,480/x
  3. Step 3: Cross multiply
    145,156.80x = 200,302.56 × 81,480
  4. Step 4: Simplify right side
    145,156.80x = 16,320,652,588.80
  5. Step 5: Solve for x
    x = 16,320,652,588.80/145,156.80
  6. Step 6: Final answer
    x = 112,434.64

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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.