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Finding the Fourth Proportional to 111,225.40, 166,838.10 and 102,585.40

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Solution

The fourth proportional to 111,225.40, 166,838.10 and 102,585.40 is: 153,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,225.40 : 166,838.10 = 102,585.40 : x
  2. Step 2: Convert to fraction form
    111,225.40/166,838.10 = 102,585.40/x
  3. Step 3: Cross multiply
    111,225.40x = 166,838.10 × 102,585.40
  4. Step 4: Simplify right side
    111,225.40x = 17,115,153,223.74
  5. Step 5: Solve for x
    x = 17,115,153,223.74/111,225.40
  6. Step 6: Final answer
    x = 153,878.10

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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.