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Finding the Fourth Proportional to 81,492.61, 112,459.65 and 45,682.66

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Solution

The fourth proportional to 81,492.61, 112,459.65 and 45,682.66 is: 63,041.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,492.61 : 112,459.65 = 45,682.66 : x
  2. Step 2: Convert to fraction form
    81,492.61/112,459.65 = 45,682.66/x
  3. Step 3: Cross multiply
    81,492.61x = 112,459.65 × 45,682.66
  4. Step 4: Simplify right side
    81,492.61x = 5,137,455,954.67
  5. Step 5: Solve for x
    x = 5,137,455,954.67/81,492.61
  6. Step 6: Final answer
    x = 63,041.99

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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.