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Finding the Fourth Proportional to 81,678.42, 112,630.77 and 64,655.46

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Solution

The fourth proportional to 81,678.42, 112,630.77 and 64,655.46 is: 89,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,678.42 : 112,630.77 = 64,655.46 : x
  2. Step 2: Convert to fraction form
    81,678.42/112,630.77 = 64,655.46/x
  3. Step 3: Cross multiply
    81,678.42x = 112,630.77 × 64,655.46
  4. Step 4: Simplify right side
    81,678.42x = 7,282,194,244.50
  5. Step 5: Solve for x
    x = 7,282,194,244.50/81,678.42
  6. Step 6: Final answer
    x = 89,156.89

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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.