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Finding the Fourth Proportional to 81,637.89, 112,668.02 and 47,643.63

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Solution

The fourth proportional to 81,637.89, 112,668.02 and 47,643.63 is: 65,752.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,637.89 : 112,668.02 = 47,643.63 : x
  2. Step 2: Convert to fraction form
    81,637.89/112,668.02 = 47,643.63/x
  3. Step 3: Cross multiply
    81,637.89x = 112,668.02 × 47,643.63
  4. Step 4: Simplify right side
    81,637.89x = 5,367,913,457.71
  5. Step 5: Solve for x
    x = 5,367,913,457.71/81,637.89
  6. Step 6: Final answer
    x = 65,752.72

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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.