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Finding the Fourth Proportional to 111,758.12, 154,223.16 and 61,457.12

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Solution

The fourth proportional to 111,758.12, 154,223.16 and 61,457.12 is: 84,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,758.12 : 154,223.16 = 61,457.12 : x
  2. Step 2: Convert to fraction form
    111,758.12/154,223.16 = 61,457.12/x
  3. Step 3: Cross multiply
    111,758.12x = 154,223.16 × 61,457.12
  4. Step 4: Simplify right side
    111,758.12x = 9,478,111,250.90
  5. Step 5: Solve for x
    x = 9,478,111,250.90/111,758.12
  6. Step 6: Final answer
    x = 84,809.15

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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.