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Finding the Fourth Proportional to 260,038.30, 390,057.45 and 120,070.30

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Solution

The fourth proportional to 260,038.30, 390,057.45 and 120,070.30 is: 180,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038.30 : 390,057.45 = 120,070.30 : x
  2. Step 2: Convert to fraction form
    260,038.30/390,057.45 = 120,070.30/x
  3. Step 3: Cross multiply
    260,038.30x = 390,057.45 × 120,070.30
  4. Step 4: Simplify right side
    260,038.30x = 46,834,315,038.74
  5. Step 5: Solve for x
    x = 46,834,315,038.74/260,038.30
  6. Step 6: Final answer
    x = 180,105.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.