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Finding the Fourth Proportional to 101,602.89, 152,379.72 and 42,406.47

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Solution

The fourth proportional to 101,602.89, 152,379.72 and 42,406.47 is: 63,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,602.89 : 152,379.72 = 42,406.47 : x
  2. Step 2: Convert to fraction form
    101,602.89/152,379.72 = 42,406.47/x
  3. Step 3: Cross multiply
    101,602.89x = 152,379.72 × 42,406.47
  4. Step 4: Simplify right side
    101,602.89x = 6,461,886,024.79
  5. Step 5: Solve for x
    x = 6,461,886,024.79/101,602.89
  6. Step 6: Final answer
    x = 63,599.43

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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.