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Finding the Fourth Proportional to 134,280, 201,463.92 and 40,785.84

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Solution

The fourth proportional to 134,280, 201,463.92 and 40,785.84 is: 61,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,280 : 201,463.92 = 40,785.84 : x
  2. Step 2: Convert to fraction form
    134,280/201,463.92 = 40,785.84/x
  3. Step 3: Cross multiply
    134,280x = 201,463.92 × 40,785.84
  4. Step 4: Simplify right side
    134,280x = 8,216,875,206.89
  5. Step 5: Solve for x
    x = 8,216,875,206.89/134,280
  6. Step 6: Final answer
    x = 61,192.10

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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.