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Finding the Fourth Proportional to 72,089.67, 99,407.35 and 49,461.74

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Solution

The fourth proportional to 72,089.67, 99,407.35 and 49,461.74 is: 68,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,089.67 : 99,407.35 = 49,461.74 : x
  2. Step 2: Convert to fraction form
    72,089.67/99,407.35 = 49,461.74/x
  3. Step 3: Cross multiply
    72,089.67x = 99,407.35 × 49,461.74
  4. Step 4: Simplify right side
    72,089.67x = 4,916,860,437.36
  5. Step 5: Solve for x
    x = 4,916,860,437.36/72,089.67
  6. Step 6: Final answer
    x = 68,204.78

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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.