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Finding the Fourth Proportional to 81,652.51, 112,678.80 and 45,842.51

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Solution

The fourth proportional to 81,652.51, 112,678.80 and 45,842.51 is: 63,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,652.51 : 112,678.80 = 45,842.51 : x
  2. Step 2: Convert to fraction form
    81,652.51/112,678.80 = 45,842.51/x
  3. Step 3: Cross multiply
    81,652.51x = 112,678.80 × 45,842.51
  4. Step 4: Simplify right side
    81,652.51x = 5,165,478,491.76
  5. Step 5: Solve for x
    x = 5,165,478,491.76/81,652.51
  6. Step 6: Final answer
    x = 63,261.73

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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.