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Finding the Fourth Proportional to 64,538.60, 89,085.06 and 40,705

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Solution

The fourth proportional to 64,538.60, 89,085.06 and 40,705 is: 56,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,538.60 : 89,085.06 = 40,705 : x
  2. Step 2: Convert to fraction form
    64,538.60/89,085.06 = 40,705/x
  3. Step 3: Cross multiply
    64,538.60x = 89,085.06 × 40,705
  4. Step 4: Simplify right side
    64,538.60x = 3,626,207,367.30
  5. Step 5: Solve for x
    x = 3,626,207,367.30/64,538.60
  6. Step 6: Final answer
    x = 56,186.64

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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.