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Finding the Fourth Proportional to 145,097.91, 200,235.12 and 81,435.71

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Solution

The fourth proportional to 145,097.91, 200,235.12 and 81,435.71 is: 112,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,097.91 : 200,235.12 = 81,435.71 : x
  2. Step 2: Convert to fraction form
    145,097.91/200,235.12 = 81,435.71/x
  3. Step 3: Cross multiply
    145,097.91x = 200,235.12 × 81,435.71
  4. Step 4: Simplify right side
    145,097.91x = 16,306,289,574.91
  5. Step 5: Solve for x
    x = 16,306,289,574.91/145,097.91
  6. Step 6: Final answer
    x = 112,381.28

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1.5x scale

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.