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Finding the Fourth Proportional to 63,709.80, 87,931.71 and 42,199.80

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Solution

The fourth proportional to 63,709.80, 87,931.71 and 42,199.80 is: 58,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,709.80 : 87,931.71 = 42,199.80 : x
  2. Step 2: Convert to fraction form
    63,709.80/87,931.71 = 42,199.80/x
  3. Step 3: Cross multiply
    63,709.80x = 87,931.71 × 42,199.80
  4. Step 4: Simplify right side
    63,709.80x = 3,710,700,575.66
  5. Step 5: Solve for x
    x = 3,710,700,575.66/63,709.80
  6. Step 6: Final answer
    x = 58,243.80

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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.