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Finding the Fourth Proportional to 64,984, 89,678.19 and 35,176

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Solution

The fourth proportional to 64,984, 89,678.19 and 35,176 is: 48,543.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,984 : 89,678.19 = 35,176 : x
  2. Step 2: Convert to fraction form
    64,984/89,678.19 = 35,176/x
  3. Step 3: Cross multiply
    64,984x = 89,678.19 × 35,176
  4. Step 4: Simplify right side
    64,984x = 3,154,520,011.44
  5. Step 5: Solve for x
    x = 3,154,520,011.44/64,984
  6. Step 6: Final answer
    x = 48,543.03

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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.