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Finding the Fourth Proportional to 190,807.80, 286,244.10 and 102,037.20

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Solution

The fourth proportional to 190,807.80, 286,244.10 and 102,037.20 is: 153,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,807.80 : 286,244.10 = 102,037.20 : x
  2. Step 2: Convert to fraction form
    190,807.80/286,244.10 = 102,037.20/x
  3. Step 3: Cross multiply
    190,807.80x = 286,244.10 × 102,037.20
  4. Step 4: Simplify right side
    190,807.80x = 29,207,546,480.52
  5. Step 5: Solve for x
    x = 29,207,546,480.52/190,807.80
  6. Step 6: Final answer
    x = 153,073.13

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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.