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Finding the Fourth Proportional to 228,459.64, 342,831.18 and 110,143

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Solution

The fourth proportional to 228,459.64, 342,831.18 and 110,143 is: 165,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,459.64 : 342,831.18 = 110,143 : x
  2. Step 2: Convert to fraction form
    228,459.64/342,831.18 = 110,143/x
  3. Step 3: Cross multiply
    228,459.64x = 342,831.18 × 110,143
  4. Step 4: Simplify right side
    228,459.64x = 37,760,454,658.74
  5. Step 5: Solve for x
    x = 37,760,454,658.74/228,459.64
  6. Step 6: Final answer
    x = 165,282.82

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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.