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Finding the Fourth Proportional to 99,378.13, 137,140.68 and 73,998

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Solution

The fourth proportional to 99,378.13, 137,140.68 and 73,998 is: 102,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,378.13 : 137,140.68 = 73,998 : x
  2. Step 2: Convert to fraction form
    99,378.13/137,140.68 = 73,998/x
  3. Step 3: Cross multiply
    99,378.13x = 137,140.68 × 73,998
  4. Step 4: Simplify right side
    99,378.13x = 10,148,136,038.64
  5. Step 5: Solve for x
    x = 10,148,136,038.64/99,378.13
  6. Step 6: Final answer
    x = 102,116.39

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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.