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Finding the Fourth Proportional to 145,294.56, 200,484.80 and 81,620.24

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Solution

The fourth proportional to 145,294.56, 200,484.80 and 81,620.24 is: 112,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,294.56 : 200,484.80 = 81,620.24 : x
  2. Step 2: Convert to fraction form
    145,294.56/200,484.80 = 81,620.24/x
  3. Step 3: Cross multiply
    145,294.56x = 200,484.80 × 81,620.24
  4. Step 4: Simplify right side
    145,294.56x = 16,363,617,492.35
  5. Step 5: Solve for x
    x = 16,363,617,492.35/145,294.56
  6. Step 6: Final answer
    x = 112,623.75

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1.5x scale

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.