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Finding the Fourth Proportional to 101,586.98, 152,404.80 and 42,389.72

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Solution

The fourth proportional to 101,586.98, 152,404.80 and 42,389.72 is: 63,594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,586.98 : 152,404.80 = 42,389.72 : x
  2. Step 2: Convert to fraction form
    101,586.98/152,404.80 = 42,389.72/x
  3. Step 3: Cross multiply
    101,586.98x = 152,404.80 × 42,389.72
  4. Step 4: Simplify right side
    101,586.98x = 6,460,396,798.66
  5. Step 5: Solve for x
    x = 6,460,396,798.66/101,586.98
  6. Step 6: Final answer
    x = 63,594.73

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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.