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Finding the Fourth Proportional to 260,023.60, 390,035.40 and 102,257.20

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Solution

The fourth proportional to 260,023.60, 390,035.40 and 102,257.20 is: 153,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,023.60 : 390,035.40 = 102,257.20 : x
  2. Step 2: Convert to fraction form
    260,023.60/390,035.40 = 102,257.20/x
  3. Step 3: Cross multiply
    260,023.60x = 390,035.40 × 102,257.20
  4. Step 4: Simplify right side
    260,023.60x = 39,883,927,904.88
  5. Step 5: Solve for x
    x = 39,883,927,904.88/260,023.60
  6. Step 6: Final answer
    x = 153,385.80

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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.