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Finding the Fourth Proportional to 111,543.16, 153,929.84 and 61,245.40

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Solution

The fourth proportional to 111,543.16, 153,929.84 and 61,245.40 is: 84,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,543.16 : 153,929.84 = 61,245.40 : x
  2. Step 2: Convert to fraction form
    111,543.16/153,929.84 = 61,245.40/x
  3. Step 3: Cross multiply
    111,543.16x = 153,929.84 × 61,245.40
  4. Step 4: Simplify right side
    111,543.16x = 9,427,494,622.74
  5. Step 5: Solve for x
    x = 9,427,494,622.74/111,543.16
  6. Step 6: Final answer
    x = 84,518.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.