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Finding the Fourth Proportional to 145,083.89, 200,215.85 and 81,421.70

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Solution

The fourth proportional to 145,083.89, 200,215.85 and 81,421.70 is: 112,361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,083.89 : 200,215.85 = 81,421.70 : x
  2. Step 2: Convert to fraction form
    145,083.89/200,215.85 = 81,421.70/x
  3. Step 3: Cross multiply
    145,083.89x = 200,215.85 × 81,421.70
  4. Step 4: Simplify right side
    145,083.89x = 16,301,913,465.76
  5. Step 5: Solve for x
    x = 16,301,913,465.76/145,083.89
  6. Step 6: Final answer
    x = 112,361.99

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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.