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Finding the Fourth Proportional to 106,365.42, 159,575.76 and 39,810.78

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Solution

The fourth proportional to 106,365.42, 159,575.76 and 39,810.78 is: 59,726.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,365.42 : 159,575.76 = 39,810.78 : x
  2. Step 2: Convert to fraction form
    106,365.42/159,575.76 = 39,810.78/x
  3. Step 3: Cross multiply
    106,365.42x = 159,575.76 × 39,810.78
  4. Step 4: Simplify right side
    106,365.42x = 6,352,835,474.69
  5. Step 5: Solve for x
    x = 6,352,835,474.69/106,365.42
  6. Step 6: Final answer
    x = 59,726.51

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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.