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Finding the Fourth Proportional to 145,652.16, 201,019.12 and 82,002.40

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Solution

The fourth proportional to 145,652.16, 201,019.12 and 82,002.40 is: 113,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,652.16 : 201,019.12 = 82,002.40 : x
  2. Step 2: Convert to fraction form
    145,652.16/201,019.12 = 82,002.40/x
  3. Step 3: Cross multiply
    145,652.16x = 201,019.12 × 82,002.40
  4. Step 4: Simplify right side
    145,652.16x = 16,484,050,285.89
  5. Step 5: Solve for x
    x = 16,484,050,285.89/145,652.16
  6. Step 6: Final answer
    x = 113,174.09

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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.