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Finding the Fourth Proportional to 160,148.40, 240,028.20 and 71,307.60

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Solution

The fourth proportional to 160,148.40, 240,028.20 and 71,307.60 is: 106,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,148.40 : 240,028.20 = 71,307.60 : x
  2. Step 2: Convert to fraction form
    160,148.40/240,028.20 = 71,307.60/x
  3. Step 3: Cross multiply
    160,148.40x = 240,028.20 × 71,307.60
  4. Step 4: Simplify right side
    160,148.40x = 17,115,834,874.32
  5. Step 5: Solve for x
    x = 17,115,834,874.32/160,148.40
  6. Step 6: Final answer
    x = 106,874.84

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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.