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Finding the Fourth Proportional to 203,079.80, 304,403.70 and 97,830.20

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Solution

The fourth proportional to 203,079.80, 304,403.70 and 97,830.20 is: 146,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,079.80 : 304,403.70 = 97,830.20 : x
  2. Step 2: Convert to fraction form
    203,079.80/304,403.70 = 97,830.20/x
  3. Step 3: Cross multiply
    203,079.80x = 304,403.70 × 97,830.20
  4. Step 4: Simplify right side
    203,079.80x = 29,779,874,851.74
  5. Step 5: Solve for x
    x = 29,779,874,851.74/203,079.80
  6. Step 6: Final answer
    x = 146,641.25

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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.