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Finding the Fourth Proportional to 103,986.64, 156,006 and 59,663.44

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Solution

The fourth proportional to 103,986.64, 156,006 and 59,663.44 is: 89,510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,986.64 : 156,006 = 59,663.44 : x
  2. Step 2: Convert to fraction form
    103,986.64/156,006 = 59,663.44/x
  3. Step 3: Cross multiply
    103,986.64x = 156,006 × 59,663.44
  4. Step 4: Simplify right side
    103,986.64x = 9,307,854,620.64
  5. Step 5: Solve for x
    x = 9,307,854,620.64/103,986.64
  6. Step 6: Final answer
    x = 89,510.10

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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.