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Finding the Fourth Proportional to 64,823.20, 97,234.80 and 38,141.80

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Solution

The fourth proportional to 64,823.20, 97,234.80 and 38,141.80 is: 57,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,823.20 : 97,234.80 = 38,141.80 : x
  2. Step 2: Convert to fraction form
    64,823.20/97,234.80 = 38,141.80/x
  3. Step 3: Cross multiply
    64,823.20x = 97,234.80 × 38,141.80
  4. Step 4: Simplify right side
    64,823.20x = 3,708,710,294.64
  5. Step 5: Solve for x
    x = 3,708,710,294.64/64,823.20
  6. Step 6: Final answer
    x = 57,212.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.