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Finding the Fourth Proportional to 198,547.40, 298,166.70 and 105,235.40

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Solution

The fourth proportional to 198,547.40, 298,166.70 and 105,235.40 is: 158,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,547.40 : 298,166.70 = 105,235.40 : x
  2. Step 2: Convert to fraction form
    198,547.40/298,166.70 = 105,235.40/x
  3. Step 3: Cross multiply
    198,547.40x = 298,166.70 × 105,235.40
  4. Step 4: Simplify right side
    198,547.40x = 31,377,691,941.18
  5. Step 5: Solve for x
    x = 31,377,691,941.18/198,547.40
  6. Step 6: Final answer
    x = 158,036.28

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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.