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Finding the Fourth Proportional to 145,671.57, 201,030.53 and 82,011.65

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Solution

The fourth proportional to 145,671.57, 201,030.53 and 82,011.65 is: 113,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,671.57 : 201,030.53 = 82,011.65 : x
  2. Step 2: Convert to fraction form
    145,671.57/201,030.53 = 82,011.65/x
  3. Step 3: Cross multiply
    145,671.57x = 201,030.53 × 82,011.65
  4. Step 4: Simplify right side
    145,671.57x = 16,486,844,050.46
  5. Step 5: Solve for x
    x = 16,486,844,050.46/145,671.57
  6. Step 6: Final answer
    x = 113,178.19

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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.