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Finding the Fourth Proportional to 134,223.74, 201,325.11 and 78,028.01

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Solution

The fourth proportional to 134,223.74, 201,325.11 and 78,028.01 is: 117,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,223.74 : 201,325.11 = 78,028.01 : x
  2. Step 2: Convert to fraction form
    134,223.74/201,325.11 = 78,028.01/x
  3. Step 3: Cross multiply
    134,223.74x = 201,325.11 × 78,028.01
  4. Step 4: Simplify right side
    134,223.74x = 15,708,996,689.71
  5. Step 5: Solve for x
    x = 15,708,996,689.71/134,223.74
  6. Step 6: Final answer
    x = 117,035.91

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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.