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Finding the Fourth Proportional to 119,145.60, 178,446.12 and 56,859.84

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Solution

The fourth proportional to 119,145.60, 178,446.12 and 56,859.84 is: 85,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,145.60 : 178,446.12 = 56,859.84 : x
  2. Step 2: Convert to fraction form
    119,145.60/178,446.12 = 56,859.84/x
  3. Step 3: Cross multiply
    119,145.60x = 178,446.12 × 56,859.84
  4. Step 4: Simplify right side
    119,145.60x = 10,146,417,831.82
  5. Step 5: Solve for x
    x = 10,146,417,831.82/119,145.60
  6. Step 6: Final answer
    x = 85,159.82

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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.