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Finding the Fourth Proportional to 99,072, 148,616.64 and 25,200

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Solution

The fourth proportional to 99,072, 148,616.64 and 25,200 is: 37,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,072 : 148,616.64 = 25,200 : x
  2. Step 2: Convert to fraction form
    99,072/148,616.64 = 25,200/x
  3. Step 3: Cross multiply
    99,072x = 148,616.64 × 25,200
  4. Step 4: Simplify right side
    99,072x = 3,745,139,328.00
  5. Step 5: Solve for x
    x = 3,745,139,328.00/99,072
  6. Step 6: Final answer
    x = 37,802.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.