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Finding the Fourth Proportional to 99,776.10, 149,664.15 and 97,807.80

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Solution

The fourth proportional to 99,776.10, 149,664.15 and 97,807.80 is: 146,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,776.10 : 149,664.15 = 97,807.80 : x
  2. Step 2: Convert to fraction form
    99,776.10/149,664.15 = 97,807.80/x
  3. Step 3: Cross multiply
    99,776.10x = 149,664.15 × 97,807.80
  4. Step 4: Simplify right side
    99,776.10x = 14,638,321,250.37
  5. Step 5: Solve for x
    x = 14,638,321,250.37/99,776.10
  6. Step 6: Final answer
    x = 146,711.70

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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.